{ "chapter_id": 2, "chapter_title": "સંબંધ અને વિધેય", "uploaded_filename": "Chapter2.zip", "uploaded_sha256": "8947bf3df3f11a7cba5ff155e33fccfdd495f981e3ca81bf068eabab4e014639", "status": "draft", "sections": [ { "section_id": "", "section_title": "Long Questions (પ્રશ્નોત્તર)", "heading_text": "Long Questions (પ્રશ્નોત્તર)", "detected_type": "SUB", "match_confidence": 0.5, "questions": [ { "sequence_no": 1, "question_text": "
\tòu (x + 1, y – 2) = (3, 1) íkku, x yLku y þkuÄku.
", "answer_text": "
ynª,\t(x + 1, y – 2) = (3, 1) nkuðkÚke,
\n
x + 1 = 3, y – 2 = 1 ÚkkÞ.
\n
\\ x = 2,\t y = 3
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "1", "original_raw_text": "\tòu (x + 1, y – 2) = (3, 1) íkku, x yLku y þkuÄku. ", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 2, "question_text": "
\tòu P = {a, b, c}, Q = {r}, íkku P × Q yLku Q × P þkuÄku. þwt yk fkíkuorÍÞ økwýkfkh Mk{kLk Au ?
", "answer_text": "
P × Q = {a, b, c} × {r}
\n
\t\t\t= {(a, r), (b, r), (c, r)}...(1)
\n
Q × P = {r} × {a, b, c}
\n
\t\t\t= {(r, a), (r, b), (r, c)}...(2)
\n
Ãkrhýk{ (1) yLku (2) ÃkhÚke òuE þfkÞ Au fu, ¢{Þwõík òuz (a, r) yLku (r, a) Mk{kLk Lk nkuðkÚke yk fkíkuorÍÞ økwýkfkh Mk{kLk LkÚke.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "2", "original_raw_text": "\tòu P = {a, b, c}, Q = {r}, íkku P × Q yLku Q × P þkuÄku. þwt yk fkíkuorÍÞ økwýkfkh Mk{kLk Au ?", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 3, "question_text": "
\tòu A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, íkku Lke[uLkk øký þkuÄku.
\n
(i) A × (B ∩ C)\t(ii)\t(A × B) ∩ (A × C)
\n
(iii) A × (B ∪ C)\t(iv)\t(A × B) ∪ (A × C)
", "answer_text": "
(i) A × (B ∩ C) {kxu,
\n
B ∩ C = {4}
\n
\\ A × (B ∩ C)\t= {1, 2, 3} × {4}
\n
\t\t\t\t= {(1, 4), (2, 4), (3, 4)}
\n
(ii) (A × B) ∩ (A × C)
\n
A × B\t= {1, 2, 3} × {3, 4}
\n
\t\t\t\t= {(1, 3), (1, 4), (2, 3), (2, 4), (3, 3),
\n
(3, 4)}........(1)
\n
A × C\t= {1, 2, 3} × {4, 5, 6}
\n
\t\t\t\t= {(1, 4), (1, 5), (1, 6), (2, 4), (2, 5),
\n
(2, 6), (3, 4), (3, 5), (3, 6)}........(2)
\n
\\ (A × B) ∩ (A × C) = {(1, 4), (2, 4), (3, 4)}
\n
(iii) A × (B ∪ C)
\n
B ∪ C\t= {3, 4, 5, 6}
\n
\\\tA × (B ∪ C)\t= {1, 2, 3} × {3, 4, 5, 6}
\n
\t\t\t\t\t= {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3),
\n
(2, 4), (2, 5), (2, 6), (3, 3),
\n
(3, 4), (3, 5), (3, 6)}
\n
(iv) (A × B) ∪ (A × C)
\n
Ãkrhýk{ (1) yLku (2)Lkku WÃkÞkuøk fhíkkt,
\n
(A × B) ∪ (A × C)
\n
\t\t\t\t\t= {(1, 3), (1, 4), (1, 5), (1, 6), (2, 3),
\n
(2, 4), (2, 5), (2, 6), (3, 3),
\n
(3, 4), (3, 5), (3, 6)}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "3", "original_raw_text": "\tòu A = {1, 2, 3}, B = {3, 4}, C = {4, 5, 6}, íkku Lke[uLkk øký þkuÄku.\n (i) A × (B ∩ C)\t(ii)\t(A × B) ∩ (A × C)\n (iii) A × (B ∪ C)\t(iv)\t(A × B) ∪ (A × C)", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 4, "question_text": "
\tòu P = {1, 2}, íkku P × P × P þkuÄku.
", "answer_text": "
P × P × P = {1, 2} × {1, 2} × {1, 2}
\n
\t\t\t= {(1, 1, 1), (1, 1, 2), (1, 2, 1), (1, 2, 2),
\n
(2, 1, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "4", "original_raw_text": "\tòu P = {1, 2}, íkku P × P × P þkuÄku. ", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 5, "question_text": "
\tòu R ðkMíkrðf MktÏÞkykuLkku øký nkuÞ, íkku R × R yLku R × R × R þwt Ëþkoðþu ?
", "answer_text": "
fkíkuorÍÞ økwýkfkh R × R = {(x, y) : x, y ∈ R} yu rîÃkrh{kýeÞ Þk{-Mk{ík÷Lkk «íÞuf ®çkËwLkwt rLkYÃký Ëþkoðu Au.
\n
fkíkuorÍÞ økwýkfkh R × R × R = {(x, y, z) : x, y, z ∈ R} yu rºkÃkrh{kýeÞ Þk{-Mk{ík÷Lkk «íÞuf ®çkËwLkwt rLkYÃký Ëþkoðu Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "5", "original_raw_text": "\tòu R ðkMíkrðf MktÏÞkykuLkku øký nkuÞ, íkku R × R yLku R × R × R þwt Ëþkoðþu ?", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 6, "question_text": "
\tòu A × B = {(p, q), (p, r), (m, q), (m, r)}, íkku A yLku B þkuÄku.
", "answer_text": "
øký A = A × BLke Ëhuf ¢{Þwõík òuzLkku «Úk{ ½xf
\n
\\ A = {p, m}
\n
øký B = A × BLke Ëhuf ¢{Þwõík òuzLkku çkeòu ½xf
\n
\\ B = {q, r}
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/3.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "6", "original_raw_text": "\tòu A × B = {(p, q), (p, r), (m, q), (m, r)}, íkku A yLku B þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 7, "question_text": "
\tòu \"\" = \"\", íkku x yLku y þkuÄku.
", "answer_text": "
ynª, \"\" = \"\"
\n
\\ \"\" + 1 = \"\"\t,\ty – \"\" = \"\"
\n
\\ \"\" = \"\"\t,\t\"\" = \"\"
\n
\\ x + 3 = 5\t,\t3y – 2 = 1
\n
\\ x = 2\t,\t3y = 3
\n
\\ y = 1
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1215-113835.png", "position": "stem", "context": "1. òu = , íkku x yLku y þkuÄku." }, { "id": "img-1", "path": "Chapter2/EQ-1102-142842.png", "position": "stem", "context": "1. òu = , íkku x yLku y þkuÄku." }, { "id": "img-2", "path": "Chapter2/EQ-1215-113859.png", "position": "answer", "context": "ynª, =" }, { "id": "img-3", "path": "Chapter2/EQ-1102-142946.png", "position": "answer", "context": "ynª, =" }, { "id": "img-4", "path": "Chapter2/EQ-1102-143046.png", "position": "answer", "context": "\\ + 1 = , y – =" }, { "id": "img-5", "path": "Chapter2/EQ-1102-143057.png", "position": "answer", "context": "\\ + 1 = , y – =" }, { "id": "img-6", "path": "Chapter2/EQ-1102-143247.png", "position": "answer", "context": "\\ + 1 = , y – =" }, { "id": "img-7", "path": "Chapter2/EQ-1102-143253.png", "position": "answer", "context": "\\ + 1 = , y – =" }, { "id": "img-8", "path": "Chapter2/EQ-1102-143305.png", "position": "answer", "context": "\\ = , =" }, { "id": "img-9", "path": "Chapter2/EQ-1102-143057.png", "position": "answer", "context": "\\ = , =" }, { "id": "img-10", "path": "Chapter2/EQ-1102-143704.png", "position": "answer", "context": "\\ = , =" }, { "id": "img-11", "path": "Chapter2/EQ-1102-143253.png", "position": "answer", "context": "\\ = , =" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "1", "original_raw_text": "\tòu = , íkku x yLku y þkuÄku. ", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 8, "question_text": "
\tòu øký A{kt 3 ½xfku nkuÞ yLku B = {3, 4, 5}, íkku A × BLkk ½xfkuLke MktÏÞk þkuÄku.
", "answer_text": "
ynª, n(A) = 3, n(B) = 3
\n
\\ n(A × B) = n(A) ⋅ n(B) = 3 × 3 = 9 ÚkkÞ.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "2", "original_raw_text": "\tòu øký A{kt 3 ½xfku nkuÞ yLku B = {3, 4, 5}, íkku A × BLkk ½xfkuLke MktÏÞk þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 9, "question_text": "
\tòu G = {7, 8}, H = {5, 4, 2}, íkku G × H yLku
H × G þkuÄku.
", "answer_text": "
G × H = {7, 8} × {5, 4, 2}
\n
\t\t\t= {(7, 5), (7, 4), (7, 2), (8, 5), (8, 4), (8, 2)}
\n
H × G = {5, 4, 2} × {7, 8}
\n
\t\t\t= {(5, 7), (5, 8), (4, 7), (4, 8), (2, 7), (2, 8)}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "3", "original_raw_text": "\tòu G = {7, 8}, H = {5, 4, 2}, íkku G × H yLkuH × G þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 10, "question_text": "
\tLke[u ykÃku÷kt rðÄkLkku{ktÚke fÞwt rðÄkLk MkíÞ Au yLku fÞwt rðÄkLk yMkíÞ Au, íku sýkðku íkÚkk yMkíÞ rðÄkLk MkíÞ çkLku íku VheÚke ÷¾ku.
\n
(i) òu P = {m, n}, Q = {n, m}, íkku P × Q = {(m, n), (n, m)}.
", "answer_text": "
ykÃku÷ rðÄkLk yMkíÞ Au.
\n
MkíÞ rðÄkLk : P × Q = {(m, n), (m, m), (n, n), (n, m)}
\n
(ii) òu A yLku B yrhõík øký nkuÞ, íkku ßÞkt, x ∈ A íkÚkk y ∈ B nkuÞ íkuðe ík{k{ ¢{Þwõík òuz (x, y)Úke çkLkíkku yrhõík øký A × B Au.
\n
ykÃku÷ rðÄkLk MkíÞ Au.
\n
(iii) òu A = {1, 2}, B = {3, 4}, íkku A × (B ∩ f) = f
\n
ykÃku÷ rðÄkLk MkíÞ Au.
\n
ynª, B ∩ f = {3, 4} ∩ f = f Au.
\n
\\ A × (B ∩ f) = {1, 2} × f = f ÚkkÞ.
\n
\tfu{ fu, çktLku{ktÚke fkuE Ãký yuf øký òu ¾k÷e øký nkuÞ, íkku íku{Lkku fkíkuorÍÞ økwýkfkh ¾k÷e øký s ÚkkÞ.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "4", "original_raw_text": "\tLke[u ykÃku÷kt rðÄkLkku{ktÚke fÞwt rðÄkLk MkíÞ Au yLku fÞwt rðÄkLk yMkíÞ Au, íku sýkðku íkÚkk yMkíÞ rðÄkLk MkíÞ çkLku íku VheÚke ÷¾ku.\n(i) òu P = {m, n}, Q = {n, m}, íkku P × Q = {(m, n), (n, m)}.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 11, "question_text": "
\tòu A = {–1, 1}, íkku A × A × A {u¤ðku.
", "answer_text": "
A × A × A = {–1, 1} × {–1, 1} × {–1, 1}
\n
\t\t\t= {(–1, –1, –1), (–1, –1, 1), (–1, 1, –1), (–1, 1, 1), (1, –1, –1), (1, –1, 1),
\n
(1, 1, 1), (1, 1, –1)}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "5", "original_raw_text": "\tòu A = {–1, 1}, íkku A × A × A {u¤ðku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 12, "question_text": "
\tòu A × B = {(a, x), (a, y), (b, x), (b, y)}, íkku A yLku B þkuÄku.
", "answer_text": "
ykÚke,\t(a, x) ∈ A × B
\n
\\ a ∈ A, x ∈ B
\n
\t\t(a, y) ∈ A × B
\n
\\ a ∈ A, y ∈ B
\n
\t\t(b, x) ∈ A × B
\n
\\ b ∈ A, x ∈ B
\n
ykÚke, øký A = A × BLke «íÞuf ¢{Þwõík òuzLkku «Úk{ ½xf
\n
= {a, b}
\n
øký B = A × BLke «íÞuf ¢{Þwõík òuzLkku çkeòu ½xf
\n
= {x, y}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "6", "original_raw_text": "\tòu A × B = {(a, x), (a, y), (b, x), (b, y)}, íkku A yLku B þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 13, "question_text": "
\tÄkhku fu, A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6},
D = {5, 6, 7, 8}, íkku Lke[uLkkt Ãkrhýk{ku [fkMkku :
\n
(i) A × (B ∩ C) = (A × B) ∩ (A × C)
", "answer_text": "
zk.çkk.\tA × (B ∩ C) {kxu,
\n
B ∩ C = f
\n
\\ A × (B ∩ C) = {1, 2} × f = f...(1)
\n
s.çkk.\t(A × B) ∩ (A × C)

A × B\t=\t{1, 2} × {1, 2, 3, 4}

\t\t\t\t= {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1),

(2, 2), (2, 3), (2, 4)}

A × C\t=\t{1, 2} × {5, 6}

\t\t\t\t= {(1, 5), (1, 6), (2, 5), (2, 6)}

\n
\\ (A × B) ∩ (A × C) = f...(2)
\n
\\ Ãkrhýk{ (1) yLku (2) ÃkhÚke
\n
\t\t\tzk.çkk. = s.çkk.
\n
(ii) A × C yu B × DLkku WÃkøký Au.
\n
ynª,\tA × C = {(1, 5), (1, 6), (2, 5), (2, 6)}

B × D\t=\t{(1, 5), (1, 6), (1, 7), (1, 8), (2, 5), (2, 6), (2, 7), (2, 8), (3, 5), (3, 6),
(3, 7), (3, 8), (4, 5), (4, 6), (4, 7), (4, 8)}

\n
\tynª, òuE þfkÞ Au fu, A × CLke Ëhuf ¢{Þwõík òuz B × D{kt ykðu÷ nkuðkÚke A × C yu B × DLkku WÃkøký Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "7", "original_raw_text": "\tÄkhku fu, A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6},D = {5, 6, 7, 8}, íkku Lke[uLkkt Ãkrhýk{ku [fkMkku :\n(i) A × (B ∩ C) = (A × B) ∩ (A × C)", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 14, "question_text": "
\tòu A = {1, 2}, B = {3, 4}, íkku A × B þkuÄku. A × BLku fux÷k WÃkøkýku nþu ? íku ík{k{ WÃkøkýkuLke ÞkËe çkLkkðku.
", "answer_text": "
A × B = {1, 2} × {3, 4} = {(1, 3), (1, 4), (2, 3), (2, 4)}
\n
ynª, n(A × B) = 4 nkuðkÚke íkuLkk WÃkøkýkuLke MktÏÞk 24 = 16 Úkþu.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "8", "original_raw_text": "\tòu A = {1, 2}, B = {3, 4}, íkku A × B þkuÄku. A × BLku fux÷k WÃkøkýku nþu ? íku ík{k{ WÃkøkýkuLke ÞkËe çkLkkðku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 15, "question_text": "
\tòu n(A) = 3, n(B) = 2 nkuÞ íkuðk çku øký A yLku B nkuÞ yLku r¼LLk ½xfku x, y, z {kxu (x, 1), (y, 2),
(z, 1) yu A × BLkk ½xfku nkuÞ, íkku A yLku B þkuÄku.
", "answer_text": "
ynª, (x, 1), (y, 2), (z, 1) ∈ A × B nkuðkÚke,
\n
A = {x, y, z}, B = {1, 2} ÚkkÞ, fkhý fu n(A) = 3, n(B) = 2 ykÃku÷ Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "9", "original_raw_text": "\tòu n(A) = 3, n(B) = 2 nkuÞ íkuðk çku øký A yLku B nkuÞ yLku r¼LLk ½xfku x, y, z {kxu (x, 1), (y, 2),(z, 1) yu A × BLkk ½xfku nkuÞ, íkku A yLku B þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 16, "question_text": "
\tòu fkíkuorÍÞ økwýkfkh A × ALkk ½xfkuLke MktÏÞk 9 nkuÞ yLku íku{ktLkk çku ½xfku (–1, 0) yLku (0, 1) nkuÞ, íkku A þkuÄku íkÚkk A × ALkk çkkfeLkk ½xfku ÷¾ku.
", "answer_text": "
ynª, n(A × A) = 9 \\ n(A) = 3 ÚkkÞ íkÚkk (–1, 0), (0, 1) ∈ A × A nkuðkÚke A = {–1, 0, 1} ÚkkÞ.
\n
\t{kxu, A × ALkk çkkfeLkk ½xfku (–1, 1), (–1, –1),
(0, –1), (0, 0), (1, –1), (1, 0) yLku (1, 1) Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "10", "original_raw_text": "\tòu fkíkuorÍÞ økwýkfkh A × ALkk ½xfkuLke MktÏÞk 9 nkuÞ yLku íku{ktLkk çku ½xfku (–1, 0) yLku (0, 1) nkuÞ, íkku A þkuÄku íkÚkk A × ALkk çkkfeLkk ½xfku ÷¾ku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } } ] }, { "section_id": "", "section_title": "Long Questions (પ્રશ્નોત્તર)", "heading_text": "Long Questions (પ્રશ્નોત્તર)", "detected_type": "SUB", "match_confidence": 0.5, "questions": [ { "sequence_no": 17, "question_text": "
\tòu A = {1, 2, 3, 4, 5, 6}, R = {(x, y) : y = x + 1} ÚkkÞ íku heíku MktçktÄ R Au, su AÚke A Ãkh ÔÞkÏÞkrÞík Au, íkku
\n
\t(i) yk MktçktÄLku rfhý ykf]rík îkhk Ëþkoðku.
\n
\t(ii) RLkku «Ëuþ, Mkn«Ëuþ íku{s rðMíkkh {u¤ðku.
", "answer_text": "
ynª,\tx, y ∈ A = {1, 2, 3, 4, 5, 6} íkÚkk y = x + 1 Au.
\n
x = 1, 2, 3, 4, 5 ÷uíkkt yLke ®f{íkku yLkw¢{u 2, 3, 4, 5, 6 {¤u. R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}
\n
\"\"
\n
RLkku «Ëuþ : {1, 2, 3, 4, 5},
\n
rðMíkkh : {2, 3, 4, 5, 6}
\n
Mkn«Ëuþ : {1, 2, 3, 4, 5, 6}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/6.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "7", "original_raw_text": "\tòu A = {1, 2, 3, 4, 5, 6}, R = {(x, y) : y = x + 1} ÚkkÞ íku heíku MktçktÄ R Au, su AÚke A Ãkh ÔÞkÏÞkrÞík Au, íkku \n\t(i) yk MktçktÄLku rfhý ykf]rík îkhk Ëþkoðku.\n\t(ii) RLkku «Ëuþ, Mkn«Ëuþ íku{s rðMíkkh {u¤ðku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 18, "question_text": "
\tLke[uLke ykf]rík{kt PÚke QLkku MktçktÄ Ëþkoðu÷ Au. yk MktçktÄLku (i) økwýÄ{oLke heíku, (ii) ÞkËeLke heíku ÷¾ku. íkuLkku «Ëuþ yLku rðMíkkh þkuÄku.
", "answer_text": "
\"\"
\n
økwýÄ{oLke heík : R : {(x, y) : x = y2, x ∈ P, y ∈ Q}
\n
ÞkËeLke heík : R : {(9, 3), (9, –3), (4, 2), (4, –2),
\n
(25, 5), (25, –5)}
\n
«Ëuþ : {4, 9, 25}, rðMíkkh : {–2, 2, –3, 3, –5, 5}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/7.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "8", "original_raw_text": "\tLke[uLke ykf]rík{kt PÚke QLkku MktçktÄ Ëþkoðu÷ Au. yk MktçktÄLku (i) økwýÄ{oLke heíku, (ii) ÞkËeLke heíku ÷¾ku. íkuLkku «Ëuþ yLku rðMíkkh þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 19, "question_text": "
\tòu A = {1, 2}, B = {3, 4}, íkku AÚke BLkk MktçktÄkuLke MktÏÞk þkuÄku.
", "answer_text": "
A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.
\n
ynª, n(A) = 2, n(B) = 2 íkÚkk
\n
n(A×B) = n(A) ⋅ n(B) = 2 × 2 = 4 {kxu MktçktÄkuLke MktÏÞk = 24 = 16 ÚkkÞ.
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/8.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "9", "original_raw_text": "\tòu A = {1, 2}, B = {3, 4}, íkku AÚke BLkk MktçktÄkuLke MktÏÞk þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 20, "question_text": "
A = {1, 2, 3, 4, ..., 14}, R = {(x, y) : 3x – y = 0,
x, y ∈ A}. òu R yu AÚke ALkku MktçktÄ nkuÞ, íkku RLkku «Ëuþ, Mkn«Ëuþ yLku rðMíkkh {u¤ðku.
", "answer_text": "
ynª, 3x – y = 0, x, y ∈ {1, 2, 3, ..., 14}
\n
\\\t3x = y
\n
ynª, x = 1, 2, 3, 4 ÷uíkkt, yLke ®f{íkku yLkw¢{u
3, 6, 9, 12 {¤u.
\n
\\ R = {(1, 3), (2, 6), (3, 9), (4, 12)} {¤u.
\n
\\ RLkku «Ëuþ : {1, 2, 3, 4}
\n
(Ëhuf ¢{Þwõík òuzLkku «Úk{ ½xf)
\n
\\ RLkku rðMíkkh : {3, 6, 9, 12}
\n
(Ëhuf ¢{Þwõík òuzLkku çkeòu ½xf)
\n
\\ RLkku Mkn«Ëuþ : øký A Ãkkuíku = {1, 2, 3, 4, ..., 14}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "1", "original_raw_text": " A = {1, 2, 3, 4, ..., 14}, R = {(x, y) : 3x – y = 0,x, y ∈ A}. òu R yu AÚke ALkku MktçktÄ nkuÞ, íkku RLkku «Ëuþ, Mkn«Ëuþ yLku rðMíkkh {u¤ðku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 21, "question_text": "
R = {(x, y) : y = x + 5, x yu 4Úke LkkLke «kf]ríkf MktÏÞk Au, x, y ∈ N} ÚkkÞ íku heíku yuf MktçktÄ N Ãkh ÔÞkÏÞkrÞík Au. RLku ÞkËeLke heíku ÷¾ku. RLkku «Ëuþ íku{s rðMíkkh {u¤ðku.
", "answer_text": "
ynª, x = 1, 2, 3 ÷uíkkt, yLke ®f{íkku
\n
y = x + 5 ÃkhÚke yLkw¢{u 6, 7, 8 {¤u.
\n
\\ R = {(1, 6), (2, 7), (3, 8)}
\n
\\ RLkku «Ëuþ : {1, 2, 3} íkÚkk RLkku rðMíkkh = {6, 7, 8}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "2", "original_raw_text": " R = {(x, y) : y = x + 5, x yu 4Úke LkkLke «kf]ríkf MktÏÞk Au, x, y ∈ N} ÚkkÞ íku heíku yuf MktçktÄ N Ãkh ÔÞkÏÞkrÞík Au. RLku ÞkËeLke heíku ÷¾ku. RLkku «Ëuþ íku{s rðMíkkh {u¤ðku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 22, "question_text": "
A = {1, 2, 3, 5}, B = {4, 6, 9}, R = {(x, y) : x yLku yLkku íkVkðík yÞwø{ MktÏÞk Au. x ∈ A, y ∈ B} ÚkkÞ íku heíku MktçktÄ AÚke B Ãkh ÔÞkÏÞkrÞík Au. RLku ÞkËeLke heíku ÷¾ku.
", "answer_text": "
ynª, x ∈ A = {1, 2, 3, 5}, y ∈ B = {4, 6, 9} íkÚkk R : x yLku y Lkku íkVkðík yÞwø{ MktÏÞk Au.
\n
R : {(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "3", "original_raw_text": " A = {1, 2, 3, 5}, B = {4, 6, 9}, R = {(x, y) : x yLku yLkku íkVkðík yÞwø{ MktÏÞk Au. x ∈ A, y ∈ B} ÚkkÞ íku heíku MktçktÄ AÚke B Ãkh ÔÞkÏÞkrÞík Au. RLku ÞkËeLke heíku ÷¾ku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 23, "question_text": "
\tLke[uLke ykf]rík{kt PÚke QLkku MktçktÄ Ëþkoðu÷ Au. yk MktçktÄLku (i) økwýÄ{oLke heíku, (ii) ÞkËeLke heíku ÷¾ku. íkuLkku «Ëuþ yLku rðMíkkh þwt Úkþu ?
", "answer_text": "
\"\"
\n
P = {5, 6, 7}, Q = {3, 4, 5}
\n
\t(i)\tøkwýÄ{oLke heík : R = {(x, y) : x ∈ P, y ∈ Q,
\n
x – y = 2}
\n
\t(ii)\tÞkËeLke heík : R = {(5, 3), (6, 4), (7, 5)}
\n
\t\tRLkku «Ëuþ : {5, 6, 7},
\n
\t\tRLkku rðMíkkh : {3, 4, 5}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/9.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "4", "original_raw_text": "\tLke[uLke ykf]rík{kt PÚke QLkku MktçktÄ Ëþkoðu÷ Au. yk MktçktÄLku (i) økwýÄ{oLke heíku, (ii) ÞkËeLke heíku ÷¾ku. íkuLkku «Ëuþ yLku rðMíkkh þwt Úkþu ?", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 24, "question_text": "
\tòu A = {1, 2, 3, 4, 6}, R = {(a, b) : a, b ∈ A, b yu a ðzu rð¼kßÞ Au} íku heíku MktçktÄ R yu A Ãkh ÔÞkÏÞkrÞík Au. íkku RLku ÞkËeLke heíku ÷¾ku íkÚkk RLkku «Ëuþ yLku rðMíkkh {u¤ðku.
", "answer_text": "
ynª, a, b ∈ A = {1, 2, 3, 4, 6} íkÚkk R : b yu a ðzu rð¼kßÞ Au.

R = {\t(1, 1), (1, 2), (1, 3), (1, 4), (1, 6), (2, 2),
(2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (6, 6)}

\n
«Ëuþ : {1, 2, 3, 4, 6}
\n
rðMíkkh : {1, 2, 3, 4, 6}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "5", "original_raw_text": "\tòu A = {1, 2, 3, 4, 6}, R = {(a, b) : a, b ∈ A, b yu a ðzu rð¼kßÞ Au} íku heíku MktçktÄ R yu A Ãkh ÔÞkÏÞkrÞík Au. íkku RLku ÞkËeLke heíku ÷¾ku íkÚkk RLkku «Ëuþ yLku rðMíkkh {u¤ðku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 25, "question_text": "
R = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4, 5}} ÚkkÞ íku heíku ÔÞkÏÞkrÞík MktçktÄLkku «Ëuþ íku{s rðMíkkh {u¤ðku.
", "answer_text": "
ynª, x ∈ {0, 1, 2, 3, 4, 5} íkÚkk (x, x + 5) {kxuLke ¢{Þwõík òuz R : {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)} Au.

\t\tRLkku rðMíkkh : {5, 6, 7, 8, 9, 10}

", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "6", "original_raw_text": " R = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4, 5}} ÚkkÞ íku heíku ÔÞkÏÞkrÞík MktçktÄLkku «Ëuþ íku{s rðMíkkh {u¤ðku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 26, "question_text": "
\tMktçktÄ R = {(x, x3) : x yu 10 fhíkkt LkkLke yrð¼kßÞ MktÏÞk Au}Lku ÞkËeLkk MðYÃk{kt ÷¾ku.
", "answer_text": "
ynª, x = {2, 3, 5, 7} Au, {kxu (x, x3) {kxuLke ¢{Þwõík òuzku R : {(2, 8), (3, 27), (5, 125), (7, 343)} ÚkkÞ.
\n
\tR = {(2, 23), (3, 33), (5, 53), (7, 73)}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "7", "original_raw_text": "\tMktçktÄ R = {(x, x3) : x yu 10 fhíkkt LkkLke yrð¼kßÞ MktÏÞk Au}Lku ÞkËeLkk MðYÃk{kt ÷¾ku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 27, "question_text": "
\tòu A = {x, y, z}; B = {1, 2}, íkku A Úke B Lkk MktçktÄkuLke MktÏÞk þkuÄku.
", "answer_text": "
ynª, n(A) = 3, n(B) = 2, íkku n(A × B) = n(A) ⋅ n(B) ÃkhÚke n(A × B) = 6 ÚkkÞ. íkuÚke AÚke BLkk MktçktÄkuLke MktÏÞk = 26 = 64 ÚkkÞ.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "8", "original_raw_text": "\tòu A = {x, y, z}; B = {1, 2}, íkku A Úke B Lkk MktçktÄkuLke MktÏÞk þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 28, "question_text": "
R yu Z Ãkh R = {(a, b) : a, b ∈ Z, a – b yu ÃkqýkOf Au} îkhk ÔÞkÏÞkrÞík Au. RLkku «Ëuþ yLku rðMíkkh þkuÄku.
", "answer_text": "
ynª, Z = {..., –2, –1, 0, 1, 2, ...} Au íkÚkk
(a, b) ∈ Z {kxu a – b yu ÃkqýkOf Au.
\n
RLkku «Ëuþ yLku rðMíkkh çktLku Z Úkþu.
\n
rðÄuÞ yu ÞtºkLke su{ Au, su yLkLÞ ykWxÃkwx Ëhuf RLkÃkwx {kxu ykÃku Au.
\n
ÔÞkÏÞk : yrhõík øký A yLku B {kxu, MktçktÄ f îkhk øký ALkk «íÞuf ½xfLku Mktøkík øký B{kt yLkLÞ «rík®çkçk {¤u Au, íkku yk MktçktÄ fLku AÚke B ÃkhLkwt rðÄuÞ fnu Au. AÚke B ÃkhLkk rðÄuÞLku f : A → B ÷¾kÞ Au.
\n
òu a ∈ A, f(a) = b, b ∈ B íkku bLku f îkhk {¤íkwt aLkwt «rík®çkçk fnuðkÞ Au. aLku f îkhk bLkwt Ãkqðo«rík®çkçk fnuðkÞ Au.
\n
yk{, rðÄuÞ yu rðrþ»x «fkhLkku MktçktÄ Au.
\n
fkuE MktçktÄ yu rðÄuÞ íÞkhu s çkLku ßÞkhu, «ËuþLkku Ëhuf ½xf Mkn«Ëuþ{ktLkk {kºk yLku {kºk yuf s ½xf MkkÚku òuzkÞu÷ nkuÞ yLÞÚkk ykÃku÷ MktçktÄ yu rðÄuÞ çkLku Lknª.
\n
\tWËknhý íkhefu,
\n
\"\"
\n
ynª ykf]rík (i){kt Ëþkoðu÷ MktçktÄ R1 yu rðÄuÞ LkÚke, fkhý fu «Ëuþ{ktLkku ½xf 3 yu Mkn«ËuþLkk fkuE Ãký ½xf MkkÚku òuzkÞu÷ LkÚke.
\n
ynª ykf]rík (ii){kt Ëþkoðu÷ MktçktÄ R2 yu rðÄuÞ Au, fkhý fu «Ëuþ{ktLkku Ëhuf ½xf yu Mkn«ËuþLkk yLkLÞ ½xf MkkÚku òuzkÞu÷ Au.
\n
ynª ykf]rík (iii){kt Ëþkoðu÷ MktçktÄ R3 yu rðÄuÞ LkÚke, fkhý fu «Úk{ ½xf 1 yu (Mkn«ËuþLkkt çku) ½xfku MkkÚku òuzkÞu÷ Au.
\n
Äkhku fu, f : A → B nkuÞ, íkku øký ALku fLkku «Ëuþ fnu Au íkÚkk øký BLku fLkku Mkn«Ëuþ fnu Au íkÚkk ALkk çkÄk ½xfkuLkk «rík®çkçkLku fLkku rðMíkkh fnu Au.
\n
\tynª, MÃk»x Au fu rðMíkkh ⊆ Mkn«Ëuþ.
\n
òu y-yûkLku Mk{ktíkh Ëkuhu÷ hu¾k ykÃku÷ ð¢Lku yuf fhíkkt ðÄkhu ®çkËwyku{kt AuËu íkku ð¢ yu Võík MktçktÄ Ëþkoðu Au, Ãkhtíkw rðÄuÞ Lk Ëþkoðu.
\n
Ãkhtíkw òu y-yûkLku Mk{ktíkh Ëkuhu÷ hu¾k ykÃku÷ ð¢Lku yuf s ®çkËw{kt AuËu íkku ð¢ yu rðÄuÞ Ëþkoðu Au.
\n
\"\"
\n
\"\"
\n
(1) íkËuð rðÄuÞ (Identity Function) :
\n
f : R → R, ∀x ∈ R {kxu f(x) = x Lku íkËuð rðÄuÞ fnu Au
\n
ykLkku yÚko yu ÚkkÞ fu, su RLkÃkwx nkuÞ íku s ykWxÃkwx {¤u.
\n
ynª, íkËuð rðÄuÞLkku «Ëuþ yLku rðMíkkh R Au.
\n
íkËuð rðÄuÞLkku yk÷u¾ Wøk{®çkËw{ktÚke ÃkMkkh Úkíke hu¾k Ëþkoðu Au.
\n
(2) y[¤ rðÄuÞ (Constant Function) :
\n
f : R → R, ∀x ∈ R, f(x) = c, (ßÞkt, c yu fkuE y[¤ Au)Lku y[¤ rðÄuÞ fnu Au.
\n
y[¤ rðÄuÞLkku «Ëuþ R yLku íkuLkku rðMíkkh {c} Au.
\n
y[¤ rðÄuÞLkku yk÷u¾ X-yûkLku Mk{ktíkh hu¾k Au.
\n
òu c > 0, íkku hu¾k X-yûkLke WÃkh Au.
\n
òu c = 0, íkku hu¾k X-yûk Ãkh MktÃkkíke nþu.
\n
òu c < 0, íkku hu¾k X-yûkLke Lke[u Au.
\n
\"\"
\n
(3) çknwÃkËe rðÄuÞ (Polynomial Function) :
\n
f : R → R, ∀x ∈ R {kxu
\n
f(x) = a0 + a1x + a2x2 + ... + anxn, Lku n ½kíkLkwt çknwÃkËe rðÄuÞ fnu Au. ynª, n yu yLk]ý ÃkqýkOf Au.
\n
a0, a1, a2, ..., an ∈ R íkÚkk an ≠ 0.
\n
WËk.\tf (x) = x3 – x2 + 2, g(x) = x4 + \"\"x Au.
\n h(x) = \"\" + 2x LkÚke.\n
(4) Mkt{uÞ rðÄuÞ (Rational Function) :
\n
g(x) ≠ 0 nkuÞ íkuðk «Ëuþ{kt ÔÞkÏÞkrÞík çknwÃkËe rðÄuÞ f(x) yLku g(x) {kxu \"\"Lku Mkt{uÞ rðÄuÞ fnu Au.
\n
(5) {kLkktf rðÄuÞ (Modulus Function) :
\n
f(x) = |x| , f : R → RÚke ÔÞkÏÞkrÞík rðÄuÞLku {kLkktf rðÄuÞ fnu Au.
\n
\"\"
\n
f(x) = |x| = \"\"
\n
íkuðe s heíku,
\n
|x – 1| = \"\" íkÚkk
\n
|x + 2| = \"\" ÷¾e þfkÞ.
\n
{kLkktf rðÄuÞLkku yk÷u¾ Y-yûk «íÞu Mktr{ík nkuÞ Au íkÚkk X-yûkLke WÃkh nkuÞ Au íkÚkk f(x) = |x|Lkku yk÷u¾ Wøk{®çkËw{ktÚke ÃkMkkh ÚkkÞ Au.
\n
{kLkktf rðÄuÞLkku «Ëuþ R íkÚkk rðMíkkh [0, ∞) Au.
\n
(6) r[nTLk rðÄuÞ (Signum Function) :
\n
\"\"
\n
f : R → R {kxu, f(x) = \"\"
\n
ðzu ÔÞkÏÞkrÞík rðÄuÞLku r[nTLk rðÄuÞ fnu Au.
\n
«Ëuþ R yLku rðMíkkh {–1, 0, 1} Au.
\n
\tr[nTLk rðÄuÞ f(x) = \"\" \"\" ðzu Ãký ËþkoðkÞ Au.
\n
(7) {n¥k{ ÃkqýkOf rðÄuÞ (Greatest Integer Function) :
\n
rðÄuÞ f : R → R, f(x) = [x] yÚkðk x\"\",
∀x ∈ R Lku {n¥k{ ÃkqýkOf rðÄuÞ fnu Auu. ßÞkt, [x] yÚkðk
x\"\" yu xÚke LkkLkk yÚkðk xLku Mk{kLk nkuÞ íkuðk ík{k{ ÃkqýkOfku{kt MkkiÚke {kuxku ÃkqýkOf Ëþkoðu Au. íkuLku floor function íkhefu Ãký yku¤¾ðk{kt ykðu Au.
\n
{n¥k{ ÃkqýkOf rðÄuÞLkku «Ëuþ R íkÚkk rðMíkkh Z Au.
\n
fkuE Ãký x ∈ R Lkku {n¥k{ ÃkqýkOf Lke[u {wsçk þkuÄe þfkÞ Au :
\n
[2.3] = 2, [– 3.2] = – 4, [5.99] = 5
\n
\t[3] = 3, [0] = 0
\n
fkuE Ãký ÃkqýkOf MktÏÞkLke {n¥k{ ÃkqýkOf íku MktÏÞk Ãkkuíku s ÚkkÞ.
\n
\"\"
\n
(8) rMk®÷øk rðÄuÞ (Ceiling Function) :
\n
rðÄuÞ f : R → R, f(x) = x\"\" Lku rMk®÷øk rðÄuÞ fnu Au.
\n
rMk®÷øk rðÄuÞLkku «Ëuþ R yLku rðMíkkh ‘Z’ Au.
\n
fkuE Ãký x ∈ R Lkku rMk®÷øk rðÄuÞ Lke[u {wsçk þkuÄe þfkÞ Au :
\n
2.3\"\" = 3,\t–3.2\"\" = – 4,\t5.99\"\" = 5
\n
3\"\" = 3,\t0\"\" = 0
\n
fkuE Ãký ÃkqýkOf MktÏÞkLkku rMk®÷øk rðÄuÞ íku MktÏÞk Ãkkuíku s ÚkkÞ.
\n
\"\"
\n
(9) ÃkqýkOf ¼køk rðÄuÞ (Fractional Part function) :
\n
rðÄuÞ f : R → R, f(x) = {x}
\n
\t\t= x – [x]
\n
Lku ÃkqýkOf ¼køk rðÄuÞ fnu Au.
\n
ÃkqýkOf ¼køk rðÄuÞLkku R yLku rðMíkkh [0, 1) Au.
\n
fkuE Ãký x ∈ R Lkku ÃkqýkOf ¼køk rðÄuÞ Lke[u {wsçk þkuÄe þfkÞ :
\n
{2.3} = 0.3,\t{– 3.2} = 0.8
\n
\t{5.99} = 0.99,\t{3} = 0
\n
fkuE Ãký ÃkqýkOf MktÏÞkLkku ÃkqýkOf ¼køk rðÄuÞLkwt {qÕÞ ‘þqLÞ’ {¤u.
\n
\"\"
\n
Äkhku fu, f : D1 → R íkÚkk g : D2 → R çku ðkMíkrðf rðÄuÞku Au.

(i) (f + g) (x) = f(x) + g(x), ∀x ∈ D1 ∩ D2

(ii) (f – g) (x) = f(x) – g(x), ∀x ∈ D1 ∩ D2

(iii) (fg) (x) = f(x) ⋅ g(x), ∀x ∈ D1 ∩ D2

(iv) \"\"(x) = \"\" ,

∀x ∈ (D1 ∩ D2) – {x : g(x) = 0}

(v) ðkMíkrðf rðÄuÞLkku y[¤ MkkÚku økwýkfkh : òu c yu fkuE y[¤ nkuÞ, íkku (c ⋅ f) (x) = c ⋅ f(x) ÚkkÞ.

", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/11.png", "position": "answer", "context": "" }, { "id": "img-1", "path": "Chapter2/12.png", "position": "answer", "context": "" }, { "id": "img-2", "path": "Chapter2/15.png", "position": "answer", "context": "" }, { "id": "img-3", "path": "Chapter2/16.png", "position": "answer", "context": "" }, { "id": "img-4", "path": "Chapter2/EQ-0321-173819.png", "position": "answer", "context": "WËk. f ( x ) = x 3 – x 2 + 2, g ( x ) = x 4 + x Au." }, { "id": "img-5", "path": "Chapter2/EQ-0321-173914.png", "position": "answer", "context": "h ( x ) = + 2 x LkÚke." }, { "id": "img-6", "path": "Chapter2/EQ-1103-165019.png", "position": "answer", "context": "g ( x ) ≠ 0 nkuÞ íkuðk «Ëuþ{kt ÔÞkÏÞkrÞík çknwÃkËe rðÄuÞ f (…" }, { "id": "img-7", "path": "Chapter2/17.png", "position": "answer", "context": "" }, { "id": "img-8", "path": "Chapter2/18.png", "position": "answer", "context": "f ( x ) = | x | =" }, { "id": "img-9", "path": "Chapter2/19.png", "position": "answer", "context": "| x – 1| = íkÚkk" }, { "id": "img-10", "path": "Chapter2/20.png", "position": "answer", "context": "| x + 2| = ÷¾e þfkÞ." }, { "id": "img-11", "path": "Chapter2/21.png", "position": "answer", "context": "" }, { "id": "img-12", "path": "Chapter2/22.png", "position": "answer", "context": "f : R → R {kxu, f ( x ) =" }, { "id": "img-13", "path": "Chapter2/23.png", "position": "answer", "context": "r[nTLk rðÄuÞ f ( x ) = ðzu Ãký ËþkoðkÞ Au." }, { "id": "img-14", "path": "Chapter2/24.png", "position": "answer", "context": "r[nTLk rðÄuÞ f ( x ) = ðzu Ãký ËþkoðkÞ Au." }, { "id": "img-15", "path": "Chapter2/26.png", "position": "answer", "context": "rðÄuÞ f : R → R , f ( x ) = [ x ] yÚkðk x , ∀ x ∈ R Lku {n¥k…" }, { "id": "img-16", "path": "Chapter2/26.png", "position": "answer", "context": "rðÄuÞ f : R → R , f ( x ) = [ x ] yÚkðk x , ∀ x ∈ R Lku {n¥k…" }, { "id": "img-17", "path": "Chapter2/29.png", "position": "answer", "context": "" }, { "id": "img-18", "path": "Chapter2/31.png", "position": "answer", "context": "rðÄuÞ f : R → R , f ( x ) = x Lku rMk®÷øk rðÄuÞ fnu Au." }, { "id": "img-19", "path": "Chapter2/31.png", "position": "answer", "context": "2.3 = 3, –3.2 = – 4, 5.99 = 5" }, { "id": "img-20", "path": "Chapter2/31.png", "position": "answer", "context": "2.3 = 3, –3.2 = – 4, 5.99 = 5" }, { "id": "img-21", "path": "Chapter2/31.png", "position": "answer", "context": "2.3 = 3, –3.2 = – 4, 5.99 = 5" }, { "id": "img-22", "path": "Chapter2/31.png", "position": "answer", "context": "3 = 3, 0 = 0" }, { "id": "img-23", "path": "Chapter2/31.png", "position": "answer", "context": "3 = 3, 0 = 0" }, { "id": "img-24", "path": "Chapter2/42.png", "position": "answer", "context": "" }, { "id": "img-25", "path": "Chapter2/44.png", "position": "answer", "context": "" }, { "id": "img-26", "path": "Chapter2/EQ-1104-112656.png", "position": "answer", "context": "Äkhku fu, f : D 1 → R íkÚkk g : D 2 → R çku ðkMíkrðf rðÄuÞku…" }, { "id": "img-27", "path": "Chapter2/EQ-1103-165019.png", "position": "answer", "context": "Äkhku fu, f : D 1 → R íkÚkk g : D 2 → R çku ðkMíkrðf rðÄuÞku…" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "9", "original_raw_text": " R yu Z Ãkh R = {(a, b) : a, b ∈ Z, a – b yu ÃkqýkOf Au} îkhk ÔÞkÏÞkrÞík Au. RLkku «Ëuþ yLku rðMíkkh þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 29, "question_text": "
N yu «kf]ríkf MktÏÞkykuLkku øký Au yLku íkuLke Ãkh ÔÞkÏÞkrÞík fkuE MktçktÄ R yuðku Au fu, R = {(x, y) :
y = 2x, x, y ∈ N}, íkku RLkku «Ëuþ, Mkn«Ëuþ yLku rðMíkkh þkuÄku. þwt yk MktçktÄ rðÄuÞ Au ?
", "answer_text": "
ynª,\tx, y ∈ N íkÚkk y = 2x Au. {kxu ynª, «Ëuþ N, Mkn«Ëuþ N íkÚkk rðMíkkh yu Þwø{ «kf]ríkf MktÏÞk Úkþu.
\n
\tynª, «íÞuf x ∈ N {kxu yLkLÞ y ∈ N {¤u Au, {kxu ykÃku÷ MktçktÄ yu rðÄuÞ çkLkþu.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "10", "original_raw_text": " N yu «kf]ríkf MktÏÞkykuLkku øký Au yLku íkuLke Ãkh ÔÞkÏÞkrÞík fkuE MktçktÄ R yuðku Au fu, R = {(x, y) :y = 2x, x, y ∈ N}, íkku RLkku «Ëuþ, Mkn«Ëuþ yLku rðMíkkh þkuÄku. þwt yk MktçktÄ rðÄuÞ Au ?", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 30, "question_text": "
\tLke[uLkkt WËknhýku{kt ykÃku÷ MktçktÄ [fkMkku yLku «íÞuf MktçktÄ rðÄuÞ Au fu Lknª íku fkhý ykÃke sýkðku.
\n
\t(i) R = {(2, 1), (3, 1), (4, 2)}
\n
\t(ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)}
\n
\t(iii) R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)}
", "answer_text": "
(i) R = {(2, 1), (3, 1), (4, 2)}Lku Lke[u {wsçk Ëþkoðe þfkÞ :
\"\"

2

3

4

\"\"
\"\"
\"\"
\"\"
\"\"

R

\"\"

1

2

\n
ynª, «Ëuþ{ktLkku Ëhuf ½xf Mkn«ËuþLkk yLkLÞ ½xf MkkÚku òuzkÞu÷ nkuðkÚke ykÃku÷ MktçktÄ yu rðÄuÞ çkLku.
\n
(ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)}
\"\"

2

3

4

\"\"
\"\"
\"\"

R

\"\"

2

3

4

\n
ynª, «Ëuþ{ktLkku ½xf 2 yu Mkn«ËuþLkk yuf fhíkkt ðÄw ½xf MkkÚku òuzkÞu÷ nkuðkÚke ykÃku÷ MktçktÄ yu rðÄuÞ çkLku Lknª.
\n
(iii) R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)}
\n
\"\"
\n
ynª, «Ëuþ{ktLkku Ëhuf ½xf yu Mkn«ËuþLkk yLkLÞ ½xf MkkÚku òuzkÞu÷ nkuðkÚke ykÃku÷ MktçktÄ yu rðÄuÞ Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/47.png", "position": "answer", "context": "(i) R = {(2, 1), (3, 1), (4, 2)} Lku Lke[u {wsçk Ëþkoðe þfkÞ…" }, { "id": "img-1", "path": "Chapter2/48.png", "position": "answer", "context": "(i) R = {(2, 1), (3, 1), (4, 2)} Lku Lke[u {wsçk Ëþkoðe þfkÞ…" }, { "id": "img-2", "path": "Chapter2/49.png", "position": "answer", "context": "(i) R = {(2, 1), (3, 1), (4, 2)} Lku Lke[u {wsçk Ëþkoðe þfkÞ…" }, { "id": "img-3", "path": "Chapter2/49.png", "position": "answer", "context": "(i) R = {(2, 1), (3, 1), (4, 2)} Lku Lke[u {wsçk Ëþkoðe þfkÞ…" }, { "id": "img-4", "path": "Chapter2/51.png", "position": "answer", "context": "(i) R = {(2, 1), (3, 1), (4, 2)} Lku Lke[u {wsçk Ëþkoðe þfkÞ…" }, { "id": "img-5", "path": "Chapter2/52.png", "position": "answer", "context": "(i) R = {(2, 1), (3, 1), (4, 2)} Lku Lke[u {wsçk Ëþkoðe þfkÞ…" }, { "id": "img-6", "path": "Chapter2/47.png", "position": "answer", "context": "(i) R = {(2, 1), (3, 1), (4, 2)} Lku Lke[u {wsçk Ëþkoðe þfkÞ…" }, { "id": "img-7", "path": "Chapter2/54.png", "position": "answer", "context": "(ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)} 2 3 4 R 2 3 4" }, { "id": "img-8", "path": "Chapter2/55.png", "position": "answer", "context": "(ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)} 2 3 4 R 2 3 4" }, { "id": "img-9", "path": "Chapter2/59.png", "position": "answer", "context": "(ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)} 2 3 4 R 2 3 4" }, { "id": "img-10", "path": "Chapter2/60.png", "position": "answer", "context": "(ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)} 2 3 4 R 2 3 4" }, { "id": "img-11", "path": "Chapter2/54.png", "position": "answer", "context": "(ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)} 2 3 4 R 2 3 4" }, { "id": "img-12", "path": "Chapter2/62.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-45", "source_number": "11", "original_raw_text": "\tLke[uLkkt WËknhýku{kt ykÃku÷ MktçktÄ [fkMkku yLku «íÞuf MktçktÄ rðÄuÞ Au fu Lknª íku fkhý ykÃke sýkðku.\n\t(i) R = {(2, 1), (3, 1), (4, 2)}\n\t(ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)}\n\t(iii) R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)}", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 31, "question_text": "
N yu «kf]ríkf MktÏÞkykuLkku øký Au f : N → N, f(x) = 2x + 1 îkhk ÔÞkÏÞkrÞík ðkMíkrðf rðÄuÞ Au. yk ÔÞkÏÞkLke {ËËÚke Lke[uLkwt fku»xf Ãkqýo fhku :
", "answer_text": "
ynª,\tf(x) = 2x + 1 Au.
\n
f(1) = 2(1) + 1 = 3, f(2) = 2(2) + 1 = 5, f(3) = 2(3) + 1 = 7
\n
f(4) = 2(4) + 1 = 9, f(5) = 2(5) + 1 = 11, f(6) = 2(6) + 1 = 13,
\n
f(7) = 2(7) + 1 = 15
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

x

\n		\n

1

\n		\n

2

\n		\n

3

\n		\n

4

\n		\n

5

\n		\n

6

\n		\n

7

\n
\n

y

\n		\n

f(1)=3

\n		\n

f(2)=5

\n		\n

f(3)=7

\n		\n

f(4)=9

\n		\n

f(5)=11

\n		\n

f(6)=13

\n		\n

f(7)=15

\n
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [ { "id": "tbl-1", "rows": 2, "columns": 8, "raw_html": "\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

x

\n		\n

1

\n		\n

2

\n		\n

3

\n		\n

4

\n		\n

5

\n		\n

6

\n		\n

7

\n
\n

y

\n		\n

f(1)=...

\n		\n

f(2)=...

\n		\n

f(3)=...

\n		\n

f(4)=...

\n		\n

f(5)=...

\n		\n

f(6)=...

\n		\n

f(7)=...

\n
", "position": "stem", "context": "x 1 2 3 4 5 6 7 y f (1)=... f (2)=... f (3)=... f (4)=... f …" } ], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "12", "original_raw_text": " N yu «kf]ríkf MktÏÞkykuLkku øký Au f : N → N, f(x) = 2x + 1 îkhk ÔÞkÏÞkrÞík ðkMíkrðf rðÄuÞ Au. yk ÔÞkÏÞkLke {ËËÚke Lke[uLkwt fku»xf Ãkqýo fhku :", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "", "needs_review": true, "needs_figure_review": true, "figure_review_reason": "leaked-figure signature in answer: 9 consecutive short label lines (shredded vector figure?)" } }, { "sequence_no": 32, "question_text": "
f : R → R, y = f(x) = x2, x ∈ R Úke ÔÞkÏÞkrÞík yuf rðÄuÞ Au. yk ÔÞkÏÞkLku ykÄkhu Lke[uLkwt fku»xf Ãkqýo fhku. yk rðÄuÞLkku «Ëuþ yLku rðMíkkh þwt Úkþu ? fLkku yk÷u¾ Ëkuhku.
", "answer_text": "
ynª,\ty = f(x) = x2 Au.
\n
\\ f(– 4) = (– 4)2 = 16, f(– 3) = (– 3)2 = 9,
f(– 2) = (– 2)2 = 4, f(– 1) = (– 1)2 = 1,
\n
f(0) = (0)2 = 0, f(1) = (1)2 = 1, f(2) = (2)2 = 4,
\n
f(3) = (3)2 = 9, f(4) = (4)2 = 16 ÚkkÞ.
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

x

\n		\n

– 4

\n		\n

– 3

\n		\n

– 2

\n		\n

– 1

\n		\n

0

\n		\n

1

\n		\n

2

\n		\n

3

\n		\n

4

\n
\n

y=f(x)=x2

\n		\n

16

\n		\n

9

\n		\n

4

\n		\n

1

\n		\n

0

\n		\n

1

\n		\n

4

\n		\n

9

\n		\n

16

\n
\n
ynª, fLkku «Ëuþ R íkÚkk rðMíkkh [0, ∞) Úkþu.
\n
y = f(x) = x2Lkku yk÷u¾ Lke[u {wsçk Au: su Ãkhð÷Þ Ëþkoðu Au.
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/63.png", "position": "answer", "context": "" } ], "tables": [ { "id": "tbl-1", "rows": 2, "columns": 10, "raw_html": "\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

x

\n		\n

– 4

\n		\n

– 3

\n		\n

– 2

\n		\n

– 1

\n		\n

0

\n		\n

1

\n		\n

2

\n		\n

3

\n		\n

4

\n
\n

y=f(x)=x2

\n
", "position": "stem", "context": "x – 4 – 3 – 2 – 1 0 1 2 3 4 y = f ( x )= x 2" } ], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "13", "original_raw_text": " f : R → R, y = f(x) = x2, x ∈ R Úke ÔÞkÏÞkrÞík yuf rðÄuÞ Au. yk ÔÞkÏÞkLku ykÄkhu Lke[uLkwt fku»xf Ãkqýo fhku. yk rðÄuÞLkku «Ëuþ yLku rðMíkkh þwt Úkþu ? fLkku yk÷u¾ Ëkuhku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "", "needs_review": true, "needs_figure_review": true, "figure_review_reason": "leaked-figure signature in answer: 10 consecutive short label lines (shredded vector figure?)" } }, { "sequence_no": 33, "question_text": "
f : R → R, f(x) = x3, x ∈ RÚke ÔÞkÏÞkrÞík rðÄuÞLkku yk÷u¾ Ëkuhku.
", "answer_text": "
f(x) = x3 {kxu,
\n
f(0) = (0)3 = 0, f(1) = (1)3 = 1,
\n
f(– 1) = (– 1)3 = – 1, f(2) = (2)3 = 8,
\n
f(– 2) = (– 2)3 = – 8, f(–3) = –27
\n
f(3) = 27 ðøkuhu ...
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/64.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-3", "source_number": "14", "original_raw_text": " f : R → R, f(x) = x3, x ∈ RÚke ÔÞkÏÞkrÞík rðÄuÞLkku yk÷u¾ Ëkuhku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 34, "question_text": "
f : R – {0} → R, f(x) = \"\", x ∈ R – {0}Úke ÔÞkÏÞkrÞík yuf rðÄuÞ ykÃku÷ Au. yk ÔÞkÏÞkLkk ykÄkhu Lke[uLkwt fku»xf Ãkqýo fhku. yk rðÄuÞLkku «Ëuþ yLku rðMíkkh þwt Úkþu ?
", "answer_text": "
y = f(x) = \"\" ykÃku÷ Au.

x

– 2

– 1.5

– 1

– 0.5

0.25

0.5

1

1.5

2

y = \"\"

– 0.5

–0.67

– 1

– 2

4

2

1

0.67

0.5

\n
fk[ku yk÷u¾ :
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1104-123031.png", "position": "stem", "context": "15. f : R – {0} → R, f ( x ) = , x ∈ R – {0} Úke ÔÞkÏÞkrÞík …" }, { "id": "img-1", "path": "Chapter2/EQ-1104-124105.png", "position": "answer", "context": "y = f ( x ) = ykÃku÷ Au. x – 2 – 1.5 – 1 – 0.5 0.25 0.5 1 1.…" }, { "id": "img-2", "path": "Chapter2/EQ-1104-124105.png", "position": "answer", "context": "y = f ( x ) = ykÃku÷ Au. x – 2 – 1.5 – 1 – 0.5 0.25 0.5 1 1.…" }, { "id": "img-3", "path": "Chapter2/65.png", "position": "answer", "context": "" } ], "tables": [ { "id": "tbl-1", "rows": 2, "columns": 10, "raw_html": "\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

x

\n		\n

– 2

\n		\n

– 1.5

\n		\n

– 1

\n		\n

– 0.5

\n		\n

0.25

\n		\n

0.5

\n		\n

1

\n		\n

1.5

\n		\n

2

\n
\n

y = f(x) = \"\"

\n		\n

–

\n		\n

–

\n		\n

–

\n		\n

–

\n		\n

–

\n		\n

–

\n		\n

–

\n		\n

–

\n		\n

–

\n
", "position": "stem", "context": "x – 2 – 1.5 – 1 – 0.5 0.25 0.5 1 1.5 2 y = f ( x ) = – – – …" } ], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-3", "source_number": "15", "original_raw_text": " f : R – {0} → R, f(x) = , x ∈ R – {0}Úke ÔÞkÏÞkrÞík yuf rðÄuÞ ykÃku÷ Au. yk ÔÞkÏÞkLkk ykÄkhu Lke[uLkwt fku»xf Ãkqýo fhku. yk rðÄuÞLkku «Ëuþ yLku rðMíkkh þwt Úkþu ?", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "", "needs_review": true, "needs_figure_review": true, "figure_review_reason": "leaked-figure signature in answer: 5 consecutive short label lines (shredded vector figure?)" } }, { "sequence_no": 35, "question_text": "
f(x) = x2, g(x) = 2x + 1 yu çku ðkMíkrðf rðÄuÞku nkuÞ, íkku (f + g)(x), (f – g)(x), (fg)(x), \"\"(x) þkuÄku.
", "answer_text": "
(f + g)(x) = f(x) + g(x) = x2 + 2x + 1
\n
(f – g)(x) = f(x) – g(x) = x2 – (2x + 1) = x2 – 2x – 1
\n
(f ⋅ g)(x) = f(x) ⋅ g(x) = x2 (2x + 1) = 2x3 + x2
\n
\"\"(x) = \"\", g(x) ≠ 0, = \"\", x ≠ \"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1104-125449.png", "position": "stem", "context": "16. f ( x ) = x 2 , g ( x ) = 2 x + 1 yu çku ðkMíkrðf rðÄuÞk…" }, { "id": "img-1", "path": "Chapter2/EQ-1104-112656.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠" }, { "id": "img-2", "path": "Chapter2/EQ-1103-165019.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠" }, { "id": "img-3", "path": "Chapter2/EQ-1104-133854.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠" }, { "id": "img-4", "path": "Chapter2/EQ-0220-140343.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-54", "source_number": "16", "original_raw_text": " f(x) = x2, g(x) = 2x + 1 yu çku ðkMíkrðf rðÄuÞku nkuÞ, íkku (f + g)(x), (f – g)(x), (fg)(x), (x) þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 36, "question_text": "
f(x) = \"\", g(x) = x yu çku yLk]ý ðkMíkrðf MktÏÞkLkk øký Ãkh ÔÞkÏÞkrÞík rðÄuÞ nkuÞ, íkku (f + g)(x), (f – g) (x), (f ⋅ g)(x), \"\"(x) þkuÄku.
", "answer_text": "
(f + g)(x) = f(x) + g(x) = \"\" + x
\n
(f – g)(x) = f(x) – g(x) = \"\" – x
\n
(f ⋅ g)(x) = f(x) ⋅ g(x) = \"\" ⋅ x = x\"\" ⋅ x = x\"\"+1 = x\"\"
\n
\"\"(x) = \"\", g(x) ≠ 0, = \"\", x ≠ 0,
\n
= x\"\"–1 = x–\"\", x ≠ 0
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1104-134513.png", "position": "stem", "context": "17. f ( x ) = , g ( x ) = x yu çku yLk]ý ðkMíkrðf MktÏÞkLkk …" }, { "id": "img-1", "path": "Chapter2/EQ-1104-125449.png", "position": "stem", "context": "17. f ( x ) = , g ( x ) = x yu çku yLk]ý ðkMíkrðf MktÏÞkLkk …" }, { "id": "img-2", "path": "Chapter2/EQ-1104-140111.png", "position": "answer", "context": "( f + g )( x ) = f ( x ) + g ( x ) = + x" }, { "id": "img-3", "path": "Chapter2/EQ-1104-140111.png", "position": "answer", "context": "( f – g )( x ) = f ( x ) – g ( x ) = – x" }, { "id": "img-4", "path": "Chapter2/EQ-1104-140111.png", "position": "answer", "context": "( f ⋅ g )( x ) = f ( x ) ⋅ g ( x ) = ⋅ x = x ⋅ x = x +1 = x" }, { "id": "img-5", "path": "Chapter2/EQ-1104-140218.png", "position": "answer", "context": "( f ⋅ g )( x ) = f ( x ) ⋅ g ( x ) = ⋅ x = x ⋅ x = x +1 = x" }, { "id": "img-6", "path": "Chapter2/EQ-1104-140218.png", "position": "answer", "context": "( f ⋅ g )( x ) = f ( x ) ⋅ g ( x ) = ⋅ x = x ⋅ x = x +1 = x" }, { "id": "img-7", "path": "Chapter2/EQ-1104-140316.png", "position": "answer", "context": "( f ⋅ g )( x ) = f ( x ) ⋅ g ( x ) = ⋅ x = x ⋅ x = x +1 = x" }, { "id": "img-8", "path": "Chapter2/EQ-1104-112656.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠ 0," }, { "id": "img-9", "path": "Chapter2/EQ-1103-165019.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠ 0," }, { "id": "img-10", "path": "Chapter2/EQ-1104-140343.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠ 0," }, { "id": "img-11", "path": "Chapter2/EQ-1104-140218.png", "position": "answer", "context": "= x –1 = x – , x ≠ 0" }, { "id": "img-12", "path": "Chapter2/EQ-1104-140218.png", "position": "answer", "context": "= x –1 = x – , x ≠ 0" }, { "id": "img-13", "path": "Chapter2/66.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-55", "source_number": "17", "original_raw_text": " f(x) = , g(x) = x yu çku yLk]ý ðkMíkrðf MktÏÞkLkk øký Ãkh ÔÞkÏÞkrÞík rðÄuÞ nkuÞ, íkku (f + g)(x), (f – g) (x), (f ⋅ g)(x), (x) þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 37, "question_text": "
\tLke[uLkk Ãkife fÞku MktçktÄ rðÄuÞ Au ? fkhý ykÃkku. òu íku rðÄuÞ nkuÞ, íkku íkuLkku «Ëuþ yLku rðMíkkh þkuÄku.
\n
(i)\t{(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}
", "answer_text": "
\"\"
\n
ynª, ykÃku÷ MktçktÄ yu rðÄuÞ Ëþkoðu Au, fkhý fu «Ëuþ{ktLkku Ëhuf ½xf yu Mkn«ËuþLkk yLkLÞ ½xf MkkÚku òuzkÞu÷ Au.
\n
«Ëuþ : {2, 5, 8, 11, 14, 17}
\n
rðMíkkh : {1}
\n
(ii)\t{(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}
\n
ynª, ykÃku÷ MktçktÄ yu rðÄuÞ Ëþkoðu Au, fkhý fu «Ëuþ{ktLkku Ëhuf ½xf yu Mkn«ËuþLkk yLkLÞ ½xf MkkÚku òuzkÞu÷ Au.
\n
\"\"
\n
«Ëuþ : {2, 4, 6, 8, 10, 12, 14}
\n
rðMíkkh : {1, 2, 3, 4, 5, 6, 7}
\n
(iii)\t{(1, 3), (1, 5), (2, 5)}
\n
\"\"
\n
ynª, ykÃku÷ MktçktÄ yu rðÄuÞ LkÚke, fkhý fu «Ëuþ{ktLkku ½xf 1 yu Mkn«ËuþLkk yuf fhíkkt ðÄw ½xf MkkÚku òuzkÞu÷ Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/67.png", "position": "answer", "context": "" }, { "id": "img-1", "path": "Chapter2/68.png", "position": "answer", "context": "" }, { "id": "img-2", "path": "Chapter2/69.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "1", "original_raw_text": "\tLke[uLkk Ãkife fÞku MktçktÄ rðÄuÞ Au ? fkhý ykÃkku. òu íku rðÄuÞ nkuÞ, íkku íkuLkku «Ëuþ yLku rðMíkkh þkuÄku.\n(i)\t{(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 38, "question_text": "
\tLke[uLkkt ðkMíkrðf rðÄuÞkuLkk «Ëuþ yLku rðMíkkh þkuÄku.
\n
(i)\tf(x) = – |x|
", "answer_text": "
ynª, f(x) = – |x|{kt xLke fkuE Ãký ðkMíkrðf ®f{ík {qfe þfkíke nkuðkÚke «Ëuþ R Úkþu.
\n
\tíkÚkk |x|Lkku rðMíkkh [0, ∞) nkuðkÚke – |x|Lkku rðMíkkh
(– ∞, 0] ÚkkÞ.
\n
(ii)\tf(x) = \"\"
\n
«Ëuþ {u¤ððk {kxu,
\n
\\ 9 – x2 ≥ 0
\n
\\ 9 > x2
\n
\\ x2 < 9
\n
\\ \"\" < 3
\n
\\ |x| < 3
\n
\\ – 3 < x < 3
\n
\\\t«Ëuþ : x ∈ [– 3, 3]
\n
rðMíkkh {u¤ððk {kxu,
\n
x ∈ [– 3, 3]\t⇒ – 3 < x < 3
\n
⇒ 0 < x2 < 9
\n
⇒ – 9 < – x2 < 0
\n
⇒ 0 < 9 – x2 < 9
\n
⇒ 0 < \"\" < 3
\n
⇒ 0 < f(x) < 3
\n
\\ f(x) ∈ [0, 3]
\n
\\ f(x) = \"\"Lkku rðMíkkh [0, 3] Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1104-143646.png", "position": "answer", "context": "(ii) f ( x ) =" }, { "id": "img-1", "path": "Chapter2/EQ-0712-120124.png", "position": "answer", "context": "\\ < 3" }, { "id": "img-2", "path": "Chapter2/EQ-0712-120517.png", "position": "answer", "context": "⇒ 0 < < 3" }, { "id": "img-3", "path": "Chapter2/EQ-0712-120517.png", "position": "answer", "context": "\\ f ( x ) = Lkku rðMíkkh [0, 3] Au." } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "2", "original_raw_text": "\tLke[uLkkt ðkMíkrðf rðÄuÞkuLkk «Ëuþ yLku rðMíkkh þkuÄku.\n(i)\tf(x) = – |x|", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 39, "question_text": "
f(x) = 2x – 5Úke ÔÞkÏÞkrÞík rðÄuÞ {kxu Lke[uLke ®f{íkku þkuÄku.
\n
(i)\tf(0)
", "answer_text": "
2(0) – 5 = 0 – 5 = – 5
\n
(ii)\tf(7)
\n
2(7) – 5 = 14 – 5 = 9
\n
(iii)\tf(– 3)
\n
2(– 3) – 5 = – 6 – 5 = – 11
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "3", "original_raw_text": " f(x) = 2x – 5Úke ÔÞkÏÞkrÞík rðÄuÞ {kxu Lke[uLke ®f{íkku þkuÄku.\n(i)\tf(0)", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 40, "question_text": "
\trðÄuÞ ‘t’ yu MkuÂÕMkÞMk{kt W»ýíkk{kLk yLku VuhLknex{kt W»ýíkk{kLk ðå[u YÃkktíkh fhíkwt Mkqºk, t(c) = \"\" + 32 îkhk ÔÞkÏÞkrÞík Au, íkku Lke[uLkkt {qÕÞku þkuÄku.
", "answer_text": "
t(c) = \"\" + 32
\n
(i)\tt(0)
\n
\"\"(0) + 32 = 0 + 32 = 0
\n
(ii)\tt(28)
\n
\"\"(28) + 32 = \"\" + 32 = \"\" = \"\"
\n
(iii)\tt(– 10)
\n
\"\"(– 10) + 32 = –18 + 32 = 14
\n
(iv)\tòu t(c) = 212 nkuÞ, íkku c þkuÄku.
\n
\\ 212 = \"\"c + 32
\n
\\ 212 – 32 = \"\"c
\n
\\ \"\" = c
\n
\\ c = 100
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1104-145532.png", "position": "stem", "context": "4. rðÄuÞ ‘ t ’ yu MkuÂÕMkÞMk{kt W»ýíkk{kLk yLku VuhLknex{kt …" }, { "id": "img-1", "path": "Chapter2/EQ-1104-145727.png", "position": "answer", "context": "t ( c ) = + 32" }, { "id": "img-2", "path": "Chapter2/EQ-1104-145912.png", "position": "answer", "context": "(0) + 32 = 0 + 32 = 0" }, { "id": "img-3", "path": "Chapter2/EQ-1104-145912.png", "position": "answer", "context": "(28) + 32 = + 32 = =" }, { "id": "img-4", "path": "Chapter2/EQ-1104-145948.png", "position": "answer", "context": "(28) + 32 = + 32 = =" }, { "id": "img-5", "path": "Chapter2/EQ-1104-150003.png", "position": "answer", "context": "(28) + 32 = + 32 = =" }, { "id": "img-6", "path": "Chapter2/EQ-1104-150012.png", "position": "answer", "context": "(28) + 32 = + 32 = =" }, { "id": "img-7", "path": "Chapter2/EQ-1104-145912.png", "position": "answer", "context": "(– 10) + 32 = –18 + 32 = 14" }, { "id": "img-8", "path": "Chapter2/EQ-1104-145912.png", "position": "answer", "context": "\\ 212 = c + 32" }, { "id": "img-9", "path": "Chapter2/EQ-1104-145912.png", "position": "answer", "context": "\\ 212 – 32 = c" }, { "id": "img-10", "path": "Chapter2/EQ-1104-150103.png", "position": "answer", "context": "\\ = c" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "4", "original_raw_text": "\trðÄuÞ ‘t’ yu MkuÂÕMkÞMk{kt W»ýíkk{kLk yLku VuhLknex{kt W»ýíkk{kLk ðå[u YÃkktíkh fhíkwt Mkqºk, t(c) = + 32 îkhk ÔÞkÏÞkrÞík Au, íkku Lke[uLkkt {qÕÞku þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 41, "question_text": "
\tLke[uLkk rðÄuÞkuLkk rðMíkkh þkuÄku.
\n
(i)\tf(x) = 2 – 3x, x ∈ R, x > 0
", "answer_text": "
heík 1 :
\n
ynª, f(x) = 2 – 3x{kt x > 0Lke y÷øk y÷øk ®f{íkku {qfíkkt,
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

x

\n		\n

0.01

\n		\n

0.1

\n		\n

0.9

\n		\n

1

\n		\n

2

\n		\n

2.5

\n		\n

4

\n		\n

5

\n		\n

...ðøkuhu

\n
\n

f(x) =

\n		\n

1.97

\n		\n

1.7

\n		\n

– 0.7

\n		\n

– 1

\n		\n

– 4

\n		\n

– 5.5

\n		\n

– 10

\n		\n

– 13

\n		\n

...ðøkuhu

\n
\n
\tynª, fku»xf ÃkhÚke òuE þfkÞ Au fu, ∀x > 0 {kxu,
\n
f(x) < 2 \\ rðMíkkh : (– ∞, 2) Úkþu.
\n
heík 2 :
\n
\tynª,\tx > 0
\n
\\ 3x > 0
\n
\\\t– 3x < 0
\n
\\\t2 – 3x < 0 + 2
\n
\\\t2 – 3x < 2
\n
\\\t2 – 3x ∈ (– ∞, 2)
\n
\\ f(x) ∈ (– ∞, 2)
\n
(ii)\tf(x) = x2 + 2, x ∈ R
\n
ynª,\t x2 ≥ 0
\n
\\ x2 + 2 ≥ 0 + 2
\n
\\ x2 + 2 ≥ 2
\n
\\ rðMíkkh : [2, ∞) Úkþu.
\n
(iii)\tf(x) = x, x ∈ R
\n
ynª, f(x) = x yu íkËuð rðÄuÞ nkuðkÚke íkuLkku rðMíkkh R ÚkkÞ.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "5", "original_raw_text": "\tLke[uLkk rðÄuÞkuLkk rðMíkkh þkuÄku.\n(i)\tf(x) = 2 – 3x, x ∈ R, x > 0", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "", "needs_review": true, "needs_figure_review": true, "figure_review_reason": "leaked-figure signature in answer: 7 consecutive short label lines (shredded vector figure?)" } }, { "sequence_no": 42, "question_text": "
\tðkMíkrðf MktÏÞk øký R Ãkh ÔÞkÏÞkrÞík ðkMíkrðf rðÄuÞ f : R → R, f(x) = x + 10, íkku rðÄuÞ fLkku yk÷u¾ Ëkuhku.
", "answer_text": "
f(x) = x + 10, x ∈ R ykÃku÷ Au. f(0) = 0 + 10 = 10,
f(1) = 1 + 10 = 11, f(–5) = –5 + 10 = 5, f(5) = 5 + 10 = 15 ðøkuhu ... ÷uíkkt yk÷u¾ Lke[u {wsçk {¤u :
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/71.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "18", "original_raw_text": "\tðkMíkrðf MktÏÞk øký R Ãkh ÔÞkÏÞkrÞík ðkMíkrðf rðÄuÞ f : R → R, f(x) = x + 10, íkku rðÄuÞ fLkku yk÷u¾ Ëkuhku. ", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 43, "question_text": "
\tòu R yu QÚke Q ÃkhLkku
\n
R = {(a, b) : a, b ∈ Q yLku a – b ∈ Z} ÚkkÞ íku heíku ÔÞkÏÞkrÞík MktçktÄ Au, íkku çkíkkðku fu,
\n
\t(i) «íÞuf a ∈ Q {kxu (a, a) ∈ R
\n
\t(ii) òu (a, b) ∈ R, íkku (b, a) ∈ R
\n
\t(iii) òu (a, b) ∈ R yLku (b, c) ∈ R, íkku (a, c) ∈ R.
", "answer_text": "
(i) Äkhku fu, a ∈ Q ÷uíkkt, {kxu a – a = 0 ∈ Z. íkuÚke (a, a) ∈ R ÚkkÞ.
\n
\t(ii)\tòu (a, b) ∈ R, íkku a – b ∈ Z. íkuÚke b – a ∈ Z. íkuÚke (b, a) ∈ R.
\n
\t(iii)\tòu (a, b) ∈ R yLku (b, c) ∈ R, íkku a – b ∈ Z.
b – c ∈ Z. íkuÚke a – c = (a – b) + (b – c) ∈ Z. íkuÚke (a, c) ∈ R ÚkkÞ.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "19", "original_raw_text": "\tòu R yu QÚke Q ÃkhLkku \n R = {(a, b) : a, b ∈ Q yLku a – b ∈ Z} ÚkkÞ íku heíku ÔÞkÏÞkrÞík MktçktÄ Au, íkku çkíkkðku fu,\n\t(i) «íÞuf a ∈ Q {kxu (a, a) ∈ R\n\t(ii) òu (a, b) ∈ R, íkku (b, a) ∈ R\n\t(iii) òu (a, b) ∈ R yLku (b, c) ∈ R, íkku (a, c) ∈ R.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 44, "question_text": "
f = {(1, 1), (2, 3), (0, – 1), (– 1, – 3)} ÚkkÞ íku heíku
Z Ãkh ÔÞkÏÞkrÞík Mkwhu¾ rðÄuÞ Au, íkku f(x) þkuÄku.
", "answer_text": "
Äkhku fu, Mkwhu¾ rðÄuÞ f(x) = mx + c ÷uíkkt,
\n
f(x) = mx + c íkÚkk f(1) = 1\t\tf(2) = 3
\n
\\ f(1) = m(1) + c \\ 3 = m(2) + c
\n
\\\t1 = m + c\t ...(1) \\ 3 = 2m + c ...(2)
\n
\tÃkrhýk{ (1) yLku (2) ÃkhÚke,
\n
\"\"
\n
m = 2Lku (1){kt {qfíkkt,
\n
\\ m + c = 1
\n
\\ c = 1 – 2
\n
\\ c = – 1
\n
\\ f(x) = mx + c ÃkhÚke,
\n
f(x) = 2x – 1 ÚkkÞ.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/73.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "20", "original_raw_text": " f = {(1, 1), (2, 3), (0, – 1), (– 1, – 3)} ÚkkÞ íku heíkuZ Ãkh ÔÞkÏÞkrÞík Mkwhu¾ rðÄuÞ Au, íkku f(x) þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 45, "question_text": "
f(x) = \"\" nkuÞ, íkku rðÄuÞLkku «Ëuþ þkuÄku.
", "answer_text": "
ykÃku÷ rðÄuÞ f yu Mkt{uÞ rðÄuÞ Au. {kxu fkuE Ãký Mkt{uÞ rðÄuÞLkku «Ëuþ = R – {x | AuË = 0},
\n
\tynª, x2 – 5x + 4 = 0 ÷uíkkt,
\n
\\ (x – 4) (x – 1) = 0
\n
\\ x = 4, x = 1
\n
\\ «Ëuþ : R – {1, 4}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1104-171653.png", "position": "stem", "context": "21. f ( x ) = nkuÞ, íkku rðÄuÞLkku «Ëuþ þkuÄku." } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "21", "original_raw_text": " f(x) = nkuÞ, íkku rðÄuÞLkku «Ëuþ þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 46, "question_text": "
f(x) = \"\" Úke ÔÞkÏÞkrÞík rðÄuÞLkku yk÷u¾
\n
\tËkuhku.
", "answer_text": "
x = 0, íkku f(0) = 1 Au.
\n
x = – 1,
\n
íkku f(– 1) = 1 – (– 1) = 2, x = 2,
\n
íkku f(2) = 2 + 1 = 3, x = 3,
\n
íkku f(3) = 3 + 1 = 4, x = – 2,
\n
íkku f(– 2) = 1 – (– 2) = 3 ÚkkÞ.
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/74.png", "position": "stem", "context": "22. f ( x ) = Úke ÔÞkÏÞkrÞík rðÄuÞLkku yk÷u¾" }, { "id": "img-1", "path": "Chapter2/75.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "22", "original_raw_text": " f(x) = Úke ÔÞkÏÞkrÞík rðÄuÞLkku yk÷u¾ \n\tËkuhku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 47, "question_text": "
\tMktçktÄ f yu f(x) = \"\"Úke ÔÞkÏÞkrÞík Au
\n
\tyLku MktçktÄ g yu g(x) = \"\"Úke ÔÞkÏÞkrÞík
\n
\tAu, íkku Mkkrçkík fhku fu, f yu rðÄuÞ Au yLku g yu rðÄuÞ LkÚke.
", "answer_text": "
ynª, f(x) = \"\" ÃkhÚke,
\n
\"\"
\n
ynª, ykf]rík ÃkhÚke òuE þfkÞ Au fu, «ËuþLkku Ëhuf ½xf Mkn«ËuþLkk yLkLÞ ({kºk yuf s) ½xf MkkÚku òuzkÞu÷ Au.
\n
\t{kxu f yu rðÄuÞ Au.
\n
g(x) = \"\"
\n
ynª, ykf]rík ÃkhÚke òuE þfkÞ Au fu, «ËuþLkku ½xf 2 yu Mkn«ËuþLkk yuf fhíkkt ðÄw ½xf MkkÚku òuzkÞu÷k nkuðkÚke g yu rðÄuÞ LkÚke.
\n
x2 = (2)2 = 4 = g(2)
\n
3(2) = 6 = g(2)
\n
\"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/77.png", "position": "stem", "context": "1. MktçktÄ f yu f ( x ) = Úke ÔÞkÏÞkrÞík Au" }, { "id": "img-1", "path": "Chapter2/78.png", "position": "stem", "context": "yLku MktçktÄ g yu g ( x ) = Úke ÔÞkÏÞkrÞík" }, { "id": "img-2", "path": "Chapter2/79.png", "position": "answer", "context": "ynª, f ( x ) = ÃkhÚke," }, { "id": "img-3", "path": "Chapter2/80.png", "position": "answer", "context": "" }, { "id": "img-4", "path": "Chapter2/81.png", "position": "answer", "context": "g ( x ) =" }, { "id": "img-5", "path": "Chapter2/82.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "1", "original_raw_text": "\tMktçktÄ f yu f(x) = Úke ÔÞkÏÞkrÞík Au \n\tyLku MktçktÄ g yu g(x) = Úke ÔÞkÏÞkrÞík\n\tAu, íkku Mkkrçkík fhku fu, f yu rðÄuÞ Au yLku g yu rðÄuÞ LkÚke.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 48, "question_text": "
f(x) = x2, íkku þkuÄku.
", "answer_text": "
f(1.1) = (1.1)2 = 1.21, f(1) = (1)2 = 1
\n
\\ = \"\"
\n
\t\t\t\t= \"\"
\n
\t\t\t\t= \"\"
\n
\t\t\t\t= \"\" = 2.1
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1108-143112.png", "position": "answer", "context": "\\ =" }, { "id": "img-1", "path": "Chapter2/EQ-1108-143123.png", "position": "answer", "context": "=" }, { "id": "img-2", "path": "Chapter2/EQ-1108-143142.png", "position": "answer", "context": "=" }, { "id": "img-3", "path": "Chapter2/EQ-1108-143158.png", "position": "answer", "context": "= = 2.1" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "2", "original_raw_text": " f(x) = x2, íkku þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 49, "question_text": "
\trðÄuÞ f(x) = Lkku «Ëuþ þkuÄku.
", "answer_text": "
f(x) = \"\"
\n
«Ëuþ {u¤ððk {kxu,
\n
\t\t\tAuË ≠ 0
\n
\\\tx2 – 8x + 12 ≠ 0
\n
\\\t(x – 6) (x – 2) ≠ 0
\n
\\\tx – 6 ≠ 0\t\\ x – 2 ≠ 0
\n
\\\tx ≠ 6\t\\ x ≠ 2
\n
\\\tx ∈ R – {2, 6}
\n
\\\t«Ëuþ = R – {2, 6}
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-0712-121836.png", "position": "answer", "context": "f ( x ) =" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "3", "original_raw_text": "\trðÄuÞ f(x) = Lkku «Ëuþ þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 50, "question_text": "
f(x) = \"\"Úke ÔÞkÏÞkrÞík rðÄuÞLkku «Ëuþ yLku rðMíkkh þkuÄku.
", "answer_text": "
f(x) = \"\"
\n
«Ëuþ {u¤ððk {kxu,
\n
x – 1 > 0
\n
\\\tx > 1
\n
\\\tx ∈ [1, ∞)
\n
\\ «Ëuþ : [1, ∞)
\n
rðMíkkh {u¤ððk {kxu,
\n
x ∈ [1, ∞)\t⇒ x > 1
\n
⇒ x – 1 > 0
\n
⇒ \"\" > 0
\n
⇒ f(x) > 0
\n
⇒ f(x) ∈ [0, ∞)
\n
\\ f Lkku rðMíkkh = [0, ∞)
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1108-143915.png", "position": "stem", "context": "4. f ( x ) = Úke ÔÞkÏÞkrÞík rðÄuÞLkku «Ëuþ yLku rðMíkkh þkuÄ…" }, { "id": "img-1", "path": "Chapter2/EQ-0712-122208.png", "position": "answer", "context": "f ( x ) =" }, { "id": "img-2", "path": "Chapter2/EQ-0712-122208.png", "position": "answer", "context": "⇒ > 0" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "4", "original_raw_text": " f(x) = Úke ÔÞkÏÞkrÞík rðÄuÞLkku «Ëuþ yLku rðMíkkh þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 51, "question_text": "
f(x) = |x – 1|Úke ÔÞkÏÞkrÞík rðÄuÞLkku «Ëuþ yLku rðMíkkh þkuÄku.
", "answer_text": "
x ∈ R ⇒ x – 1 ∈ R
\n
\\ f(x) Lkku «Ëuþ R Au.
\n
x – 1 ∈ R ⇒ |x – 1| > 0
\n
⇒ f(x) > 0
\n
⇒ f(x) ∈ [0, ∞)
\n
\\ f(x)Lkku rðMíkkh = [0, ∞) Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "5", "original_raw_text": " f(x) = |x – 1|Úke ÔÞkÏÞkrÞík rðÄuÞLkku «Ëuþ yLku rðMíkkh þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 52, "question_text": "
\tòu f = \"\" yu RÚke RLkwt rðÄuÞ
\n
\tnkuÞ, íkku fLkku rðMíkkh þkuÄku.
", "answer_text": "
f = \"\"
\n
ynª, x ∈ R ⇒ x2 > 0
\n
⇒ 1 + x2 > 1
\n
⇒ \"\" > 0
\n
nðu, x2 < x2 + 1
\n
\\ \"\" < 1
\n
\\\t0 < \"\" < 1
\n
\\\t0 < f(x) < 1
\n
\\ f(x) ∈ [0, 1)
\n
\\ f(x)Lkku rðMíkkh [0, 1) Au.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1108-144940.png", "position": "stem", "context": "6. òu f = yu R Úke R Lkwt rðÄuÞ" }, { "id": "img-1", "path": "Chapter2/Chap_2_Std._11_Sci._GM_Maths_2025_Bhavesh-0508-028.png", "position": "answer", "context": "f =" }, { "id": "img-2", "path": "Chapter2/EQ-0712-123117.png", "position": "answer", "context": "⇒ > 0" }, { "id": "img-3", "path": "Chapter2/EQ-0714-164925.png", "position": "answer", "context": "\\ < 1" }, { "id": "img-4", "path": "Chapter2/EQ-0712-123117.png", "position": "answer", "context": "\\ 0 < < 1" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "6", "original_raw_text": "\tòu f = yu RÚke RLkwt rðÄuÞ \n\tnkuÞ, íkku fLkku rðMíkkh þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 53, "question_text": "
f, g : R → R, f(x) = x + 1, g(x) = 2x – 3Úke ÔÞkÏÞkrÞík rðÄuÞ Au, íkku f + g, f – g, \"\" þkuÄku.
", "answer_text": "
(f + g) (x) = f(x) + g(x) = x + 1 + 2x – 3 = 3x – 2
\n
\t(f – g) (x) = f(x) – g(x)\t= x + 1 – (2x – 3)
\n
\t\t= x + 1 – 2x + 3
\n
\t\t= 4 – x
\n
\"\"(x) = \"\", g(x) ≠ 0, = \"\", x ≠ \"\"
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/EQ-1108-150426.png", "position": "stem", "context": "7. f , g : R → R, f ( x ) = x + 1, g ( x ) = 2 x – 3 Úke ÔÞk…" }, { "id": "img-1", "path": "Chapter2/EQ-1104-112656.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠" }, { "id": "img-2", "path": "Chapter2/EQ-1103-165019.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠" }, { "id": "img-3", "path": "Chapter2/EQ-1108-151852.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠" }, { "id": "img-4", "path": "Chapter2/EQ-1108-151911.png", "position": "answer", "context": "( x ) = , g ( x ) ≠ 0, = , x ≠" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "7", "original_raw_text": " f, g : R → R, f(x) = x + 1, g(x) = 2x – 3Úke ÔÞkÏÞkrÞík rðÄuÞ Au, íkku f + g, f – g, þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 54, "question_text": "
\tòu f : {(1, 1), (2, 3), (0, – 1), (– 1, – 3)} yu f(x) = ax + bÚke ÔÞkÏÞkrÞík MktçktÄ nkuÞ, íkku a yLku b þkuÄku.
", "answer_text": "
(1, 1) : f(1) = 1 ÃkhÚke,
\n
f(x) = ax + b
\n
\\ f(1) = a(1) + b
\n
\\ 1 = a + b\t\t...(1)
\n
(2, 3) : f(2) = 3 ÃkhÚke,
\n
f(x) = ax + b
\n
\\ f(2) = a(2) + b
\n
\\ 3 = 2a + b\t...(2)
\n
\t(1) yLku (2) ÃkhÚke,
\n
\"\"
\n
a = 2Lku Mk{e. (1){kt {qfíkkt,
\n
\\ a + b = 1
\n
\\ 2 + b = 1
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/84.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "8", "original_raw_text": "\tòu f : {(1, 1), (2, 3), (0, – 1), (– 1, – 3)} yu f(x) = ax + bÚke ÔÞkÏÞkrÞík MktçktÄ nkuÞ, íkku a yLku b þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 55, "question_text": "
R yu NÚke NLkku MktçktÄ Au. R : {(a, b) : a, b ∈ N yLku a = b2} ÚkkÞ íku heíku ÔÞkÏÞkrÞík Au, íkku þwt Lke[uLkkt rðÄkLkku MkíÞ Au ?
\n
\t(i)\t∀a ∈ N {kxu (a, a) ∈ R
\n
\t(ii)\tòu (a, b) ∈ R, íkku (b, a) ∈ R
\n
\t(iii)\tòu (a, b) ∈ R, (b, c) ∈ R, íkku (a, c) ∈ R
\n
«íÞuf rðÄkLk{kt ík{khk sðkçkLke MkíÞkÚkoíkk [fkMkku.
", "answer_text": "
ynª, R = {(a, b) : a, b ∈ N, a = b2} ykÃku÷ Au.

(i)\tÄkhku fu, 3 ∈ N {kxu, 3 = (3)2 = 9 su þõÞ LkÚke, {kxu ∀a ∈ N {kxu (a, a) ∈ R MkíÞ LkÚke.

(ii)\ta = 9, b = 3 ÷uíkkt, (9, 3) ∈ R, fkhý fu 32 = 9 Ãkhtíkw (3, 9) ∉ R, fkhý fu 92 ≠ 3

\\ ykÃku÷ rðÄkLk MkíÞ LkÚke.

(iii)\ta = 16, b = 4 ÷uíkkt, 42 = 16 ÚkkÞ.

\\ (16, 4) ∈ R ÚkkÞ.

\t\tb = 4, c = 2 ÷uíkkt, 22 = 4 ÚkkÞ.

\\ (4, 2) ∈ R Ãkhtíkw

(a, c) = (16, 2), ∉ R, fkhý fu 22 ≠ 16

\\ ykÃku÷ rðÄkLk MkíÞ LkÚke.

", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "9", "original_raw_text": " R yu NÚke NLkku MktçktÄ Au. R : {(a, b) : a, b ∈ N yLku a = b2} ÚkkÞ íku heíku ÔÞkÏÞkrÞík Au, íkku þwt Lke[uLkkt rðÄkLkku MkíÞ Au ?\n\t(i)\t∀a ∈ N {kxu (a, a) ∈ R\n\t(ii)\tòu (a, b) ∈ R, íkku (b, a) ∈ R\n\t(iii)\tòu (a, b) ∈ R, (b, c) ∈ R, íkku (a, c) ∈ R\n «íÞuf rðÄkLk{kt ík{khk sðkçkLke MkíÞkÚkoíkk [fkMkku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 56, "question_text": "
A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} yLku
f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}, íkku þwt Lke[uLkkt rðÄkLkku MkíÞ Au ?
\n
\t(i)\tf yu AÚke B ÃkhLkku MktçktÄ Au.
\n
\t(ii)\tf yu AÚke B ÃkhLkwt rðÄuÞ Au. ík{khk sðkçkLke MkíÞkÚkoíkk [fkMkku.
", "answer_text": "
ynª, f yu A × BLkku WÃkøký nkuðkÚke f yu MktçktÄ Au, {kxu rðÄkLk (i) MkíÞ Au.
\n
\"\"
\n
\tíkÚkk ykf]rík 5hÚke òuE þfkÞ Au fu, «ËuþLkku ½xf ‘2’ yu Mkn«ËuþLkk çku ½xfku MkkÚku òuzkÞu÷ Au, {kxu f yu rðÄuÞ LkÚke. {kxu rðÄkLk (ii) MkíÞ LkÚke.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/85.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "10", "original_raw_text": " A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} yLkuf = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}, íkku þwt Lke[uLkkt rðÄkLkku MkíÞ Au ?\n\t(i)\tf yu AÚke B ÃkhLkku MktçktÄ Au.\n\t(ii)\tf yu AÚke B ÃkhLkwt rðÄuÞ Au. ík{khk sðkçkLke MkíÞkÚkoíkk [fkMkku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 57, "question_text": "
f yu Z × ZLkku WÃkøký Au.
\n
\tòu f = {ab, a + b) : a, b ∈ Z} Úke ÔÞkÏÞkrÞík Au, íkku þwt f yu ZÚke ZLkwt rðÄuÞ Au ? ík{khk sðkçkLke MkíÞkÚkoíkk [fkMkku.
", "answer_text": "
f = {ab, a + b}, a, b ∈ Z
\n
\\ f (ab) = a + b
\n
a = 1, b = 2 ÷uíkkt, f(1 × 2) = 1 + 2 \\ f(2) = 3 {¤u.
\n
a = –1, b = –2 ÷uíkkt, f(–1 × –2) = – 1 – 2
\n
\\ f(2) = – 3 {¤u.
\n
\tyk{, (2, 3) yLku (2, – 3) çku ¢{Þwõík òuz {¤u.
\n
\tyk{, 2 yu çku ½xfku MkkÚku òuzkÞu÷ Au.
\n
\\ f yu Z Úke Z Lkwt rðÄuÞ LkÚke.
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "11", "original_raw_text": " f yu Z × ZLkku WÃkøký Au. \n\tòu f = {ab, a + b) : a, b ∈ Z} Úke ÔÞkÏÞkrÞík Au, íkku þwt f yu ZÚke ZLkwt rðÄuÞ Au ? ík{khk sðkçkLke MkíÞkÚkoíkk [fkMkku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } }, { "sequence_no": 58, "question_text": "
A = {9, 10, 11, 12, 13}, f : A → N, f(n) = nLkku {n¥k{ yrð¼kßÞ yðÞð Au. fLkku rðMíkkh þkuÄku.
\n\"\"/", "answer_text": "
f = A → N íkÚkk f(n) = nLkku {n¥k{ yrð¼kßÞ yðÞð
\n
f(9) = 9Lkku {n¥k{ yrð¼kßÞ yðÞð = 3 íkuðe s heíku, f(10) = 5, f (9) = 3, f(11) = 11, f(12) = 3, f(13) = 13 {¤u.
\n
\\ fLkku rðMíkkh = {3, 5, 11, 13} ÚkkÞ.
\n
2
\n
«fhý Mkqr[
\n
yøkkWLkk ð»ko{kt ÃkwAkÞu÷k JEE-Main «&LkkuLkwt «fhýðkh rð&÷u»ký
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "", "path": "Chapter2/Ch_02_Column_Chart_FINAL_.png", "position": "stem", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "12", "original_raw_text": " A = {9, 10, 11, 12, 13}, f : A → N, f(n) = nLkku {n¥k{ yrð¼kßÞ yðÞð Au. fLkku rðMíkkh þkuÄku.\n", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "section": "Long Questions (પ્રશ્નોત્તર)", "section_id": "" } } ] }, { "section_id": "2.9", "section_title": "NCERT Exemplar MCQs", "heading_text": "NCERT Exemplar", "detected_type": "SUB", "match_confidence": 0.85, "questions": [ { "sequence_no": 59, "question_text": "
f : N → N, f (x) = x + 2Lkku rðMíkkh ________ Au.
", "answer_text": "
{3, 4, 5, 6, ...}
\n
f (1) = 1 + 2 = 3
\n
f (2) = 2 + 2 = 4
\n
f (3) = 3 + 2 = 5
\n
f (4) = 4 + 2 = 6
\n
\"\"
\n
\"\"
\n
\\ f (x) Lkku rðMíkkh = {3, 4, 5, 6, ...}
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-004.png", "position": "answer", "context": "" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-004.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "1", "original_raw_text": " f : N → N, f (x) = x + 2Lkku rðMíkkh ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 60, "question_text": "
f : N → N, f (x) = 2xLkku rðMíkkh ________ Au.
", "answer_text": "
{2, 4, 8, ...}
\n
x ∈ N yLku N = {1, 2, 3, 4, ...}
\n
f (x) = 2x
\n
x = 1 ÷uíkkt,
\n
\\\tf (1) = 21 = 2
\n
x = 2 ÷uíkkt,
\n
\\\tf (2) = 22 = 4
\n
x = 3 ÷uíkkt,
\n
\\\tf (3) = 23 = 8
\n
\\ rðMíkkh = {2, 4, 8, ...}
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "2", "original_raw_text": " f : N → N, f (x) = 2xLkku rðMíkkh ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 61, "question_text": "
f : R → R, f (x) = 5Lkku rðMíkkh ________ Au.
", "answer_text": "
{5}
\n
ynª,\tx ∈ R
\n
\\ f (– 2)\t= 5
\n
f (0)\t= 5
\n
f (1)\t= 5
\n
\\ f y[¤ rðÄuÞ Au.
\n
\\ f Lkku rðMíkkh {5} Au.
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "3", "original_raw_text": " f : R → R, f (x) = 5Lkku rðMíkkh ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 62, "question_text": "
\tòu f : R+ → R+, f (x) = x2 + 4\"\" + 3 nkuÞ, íkku f(4) yLku f (16)Lkwt {qÕÞ ________ yLku ________ Au.
", "answer_text": "
27, 275
\n
f (x) = x2 + 4\"\" + 3
\n
f (4)\t= (4)2 + 4\"\" + 3
\n
\t\t= 16 + 4(2) + 3
\n
f (16)\t= (16)2 + 4\"\" + 3
\n
\t\t= 256 + 4(4) + 3
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-005.png", "position": "stem", "context": "4. òu f : R + → R + , f ( x ) = x 2 + 4 + 3 nkuÞ, íkku f (4)…" }, { "id": "img-1", "path": "Chapter2/EQ-0511-163220.png", "position": "answer", "context": "f ( x ) = x 2 + 4 + 3" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-007.png", "position": "answer", "context": "f (4)\t= (4) 2 + 4 + 3" }, { "id": "img-3", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-008.png", "position": "answer", "context": "f (16)\t= (16) 2 + 4 + 3" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "4", "original_raw_text": "\tòu f : R+ → R+, f (x) = x2 + 4 + 3 nkuÞ, íkku f(4) yLku f (16)Lkwt {qÕÞ ________ yLku ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 63, "question_text": "
\tòu f : R – {0} → R, f (x) = \"\" + ax yLku
\n
f\"\" = \"\" nkuÞ, íkku a þkuÄku.
", "answer_text": "
3
\n
ynª,\tf \"\" = \"\"
\n
\\ \"\" + \"\"\t= \"\"
\n
\\\t5 + \"\"\t= \"\"
\n
\\ \"\"\t= \"\" – 5
\n
\\ \"\"\t= \"\"
\n
\\\ta\t= 3
", "type": "SUB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-009.png", "position": "stem", "context": "5. òu f : R – {0} → R, f ( x ) = + ax yLku" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-010.png", "position": "stem", "context": "f = nkuÞ, íkku a þkuÄku." }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-012.png", "position": "stem", "context": "f = nkuÞ, íkku a þkuÄku." }, { "id": "img-3", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-013.png", "position": "answer", "context": "ynª, f =" }, { "id": "img-4", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-014.png", "position": "answer", "context": "ynª, f =" }, { "id": "img-5", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-015.png", "position": "answer", "context": "\\ + =" }, { "id": "img-6", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-016.png", "position": "answer", "context": "\\ + =" }, { "id": "img-7", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-014.png", "position": "answer", "context": "\\ + =" }, { "id": "img-8", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-016.png", "position": "answer", "context": "\\ 5 + =" }, { "id": "img-9", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-014.png", "position": "answer", "context": "\\ 5 + =" }, { "id": "img-10", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-016.png", "position": "answer", "context": "\\ = – 5" }, { "id": "img-11", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-014.png", "position": "answer", "context": "\\ = – 5" }, { "id": "img-12", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-016.png", "position": "answer", "context": "\\ =" }, { "id": "img-13", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-019.png", "position": "answer", "context": "\\ =" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "5", "original_raw_text": "\tòu f : R – {0} → R, f (x) = + ax yLku \n f = nkuÞ, íkku a þkuÄku.", "marks": 0, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 64, "question_text": "
\tíkËuð rðÄuÞLkku yk÷u¾ ________ nkuÞ Au.
", "answer_text": "
hu¾k
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "6", "original_raw_text": "\tíkËuð rðÄuÞLkku yk÷u¾ ________ nkuÞ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 65, "question_text": "
\tòu f (x) = \"\", x ∈ R íkku,
\n
f (2011) = ________.
", "answer_text": "
1
\n
f ( x) = \"\"
\n
\t\t\t\t=
\n
\t\t\t\t= \"\"
\n
f (x)\t= 1
\n
\\ f (2011)\t= 1
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-021.png", "position": "stem", "context": "7. òu f ( x ) = , x ∈ R íkku," }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-022.png", "position": "answer", "context": "f ( x ) =" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-024.png", "position": "answer", "context": "=" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "7", "original_raw_text": "\tòu f (x) = , x ∈ R íkku, \n f (2011) = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 66, "question_text": "
\tòu 2 f (x) – 3f\"\" = x2 (Q x ≠ 0) íkku f (2) = ________.
", "answer_text": "
\"\"
\n
2f (x) – 3f \"\" = x2 ...(1)
\n
\t\t2f \"\" – 3f \"\"\t= \"\" (x Lke søÞkyu \"\" {qfíkkt)
\n
\\\t2f \"\" – 3f (x)\t= \"\"
\n
\\\t4f (x) – 6f \"\"\t= 2x2\t...(1)
\n
\\ 6f \"\" – 9f (x)\t= \"\"\t...(2)
\n
Mk{e. (1) & (2)Lkku Mkhðk¤ku fhíkkt,
\n
\\\t– 5f (x)\t= 2x2 + \"\"
\n
\\ f (x)\t= \"\" – \"\"
\n
f (2)\t= \"\" – \"\"
\n
\t\t\t= \"\" – \"\"
\n
\t\t\t= \"\"
\n
\t\t\t= \"\" = \"\"
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-025.png", "position": "stem", "context": "8. òu 2 f ( x ) – 3 f = x 2 ( Q x ≠ 0) íkku f (2) = ________…" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-026.png", "position": "answer", "context": "sðkçk :" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "2 f ( x ) – 3 f = x 2 ...(1)" }, { "id": "img-3", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "2 f – 3 f = ( x Lke søÞkyu {qfíkkt)" }, { "id": "img-4", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-028.png", "position": "answer", "context": "2 f – 3 f = ( x Lke søÞkyu {qfíkkt)" }, { "id": "img-5", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-029.png", "position": "answer", "context": "2 f – 3 f = ( x Lke søÞkyu {qfíkkt)" }, { "id": "img-6", "path": "Chapter2/EQ-0327-100705.png", "position": "answer", "context": "2 f – 3 f = ( x Lke søÞkyu {qfíkkt)" }, { "id": "img-7", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "\\ 2 f – 3 f ( x )\t=" }, { "id": "img-8", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-029.png", "position": "answer", "context": "\\ 2 f – 3 f ( x )\t=" }, { "id": "img-9", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "\\ 4 f ( x ) – 6 f = 2 x 2 ...(1)" }, { "id": "img-10", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "\\ 6 f – 9 f ( x )\t= ...(2)" }, { "id": "img-11", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-030.png", "position": "answer", "context": "\\ 6 f – 9 f ( x )\t= ...(2)" }, { "id": "img-12", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-030.png", "position": "answer", "context": "\\ – 5 f ( x )\t= 2 x 2 +" }, { "id": "img-13", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-031.png", "position": "answer", "context": "\\ f ( x )\t= –" }, { "id": "img-14", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-032.png", "position": "answer", "context": "\\ f ( x )\t= –" }, { "id": "img-15", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-033.png", "position": "answer", "context": "f (2)\t= –" }, { "id": "img-16", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-034.png", "position": "answer", "context": "f (2)\t= –" }, { "id": "img-17", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-035.png", "position": "answer", "context": "= –" }, { "id": "img-18", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-036.png", "position": "answer", "context": "= –" }, { "id": "img-19", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0708-016.png", "position": "answer", "context": "=" }, { "id": "img-20", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-037.png", "position": "answer", "context": "= =" }, { "id": "img-21", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-026.png", "position": "answer", "context": "= =" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-55", "source_number": "8", "original_raw_text": "\tòu 2 f (x) – 3f = x2 (Q x ≠ 0) íkku f (2) = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 67, "question_text": "
\trðÄuÞ f yu 2f (x) + f (1 – x) = x2, x ∈ R þhíkLkwt Ãkk÷Lk fhu, íkku f (x) = ________.
", "answer_text": "
\"\"
\n
2f (x) + f (1 – x) = x2 ...(1)
\n
\t2f (1 – x) + f (1 – (1 – x)) = (1 – x)2
\n
(x Lke søÞkyu (1 – x) {qfíkkt)
\n
\\ 2f (1 – x) + f (x) = (1 – x)2\t...(2)
\n
Mk{e. (1) yLku (2) ÃkhÚke,
\n
4f (x) + 2f (1 – x) – 2f (1 – x) – f (x) = 2x2 – (1 – x)2
\n
\\ 3f (x)\t= 2x2 – x2 + 2x – 1
\n
4f (x) – 2f (1 – x) = 2x2
\n
f (x) + 2f (1 – x) = (1 – x)2
\n
3f (x) = 2x2 – (1 – x)2
\n
\t\t= x2 + 2x – 1
\n
\\ f(x) = \"\"
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-039.png", "position": "answer", "context": "sðkçk :" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-040.png", "position": "answer", "context": "\\ f ( x ) =" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "9", "original_raw_text": "\trðÄuÞ f yu 2f (x) + f (1 – x) = x2, x ∈ R þhíkLkwt Ãkk÷Lk fhu, íkku f (x) = ________. ", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 68, "question_text": "
\tÄkhku fu, f (x) = ax2 + bx + c Au.
\n
\tòu f (x + 1) – f (x) = 8x + 3
\n
íkku a = ________, b = ________.
", "answer_text": "
a = 4, b = – 1
\n
f (x) = ax2 + bx + c
\n
f (x + 1) = a(x + 1)2 + b(x + 1) + c
\n
\\ f (x + 1) – f (x) = a(x + 1)2 + b(x + 1)
\n
+ c – ax2 – bx – c
\n
\\ 8x + 3\t= a(x2 + 2x + 1) + bx + b + c – ax2 – bx – c
\n
\t\t\t= ax2 + 2ax + a + bx + b + c – ax2 – bx – c
\n
\\ 8x + 3\t= 2ax + a + b
\n
\\ 2a = 8\ta + b\t= 3
\n
\\ a = 4\t4 + b\t= 3
\n
b\t= – 1
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-131", "source_number": "10", "original_raw_text": "\tÄkhku fu, f (x) = ax2 + bx + c Au. \n\tòu f (x + 1) – f (x) = 8x + 3 \n íkku a = ________, b = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 69, "question_text": "
\tòu f (x) = \"\" íkku f (– x) = ________.
", "answer_text": "
f (x) (Þwø{ rðÄuÞ)
\n
f (x) = \"\"
\n
f (– x)\t=
\n
\t\t\t= \"\"
\n
\t\t\t= f (x)
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0708-017.png", "position": "stem", "context": "11. òu f ( x ) = íkku f (– x ) = ________ ." }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-041.png", "position": "answer", "context": "f ( x ) =" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-041.png", "position": "answer", "context": "=" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "11", "original_raw_text": "\tòu f (x) = íkku f (– x) = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 70, "question_text": "
\trðÄuÞ f (x) = \"\"Lkku «Ëuþ ________ Au.
", "answer_text": "
R – {– 3, 3}
\n
«Ëuþ {u¤ððk {kxu,
\n
9 – x2 ≠ 0
\n
\\ x2 ≠ 9
\n
\\ x ≠ ± 3
\n
\\ x ∈ R – {– 3, 3}
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-002.png", "position": "stem", "context": "12. rðÄuÞ f ( x ) = Lkku «Ëuþ ________ Au." } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "12", "original_raw_text": "\trðÄuÞ f (x) = Lkku «Ëuþ ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 71, "question_text": "
f yu rðÄuÞ Au, íkku \"\"[ f (x) + f (– x)] yu ________ rðÄuÞ Au.
", "answer_text": "
Þwø{ rðÄuÞ
\n
g(x) = \"\"[ f (x) + f (– x)]
\n
g(– x) = \"\"[ f (– x) + f (x)] = g(x)
\n
\\ g(x) yu Þwø{ rðÄuÞ Au.
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-003.png", "position": "stem", "context": "13. f yu rðÄuÞ Au, íkku [ f ( x ) + f (– x )] yu ________ rð…" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-0041.png", "position": "answer", "context": "g ( x ) = [ f ( x ) + f (– x )]" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-0041.png", "position": "answer", "context": "g (– x ) = [ f (– x ) + f ( x )] = g ( x )" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "13", "original_raw_text": " f yu rðÄuÞ Au, íkku [ f (x) + f (– x)] yu ________ rðÄuÞ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } }, { "sequence_no": 72, "question_text": "
\tòu f(x) = e–x íkku, \"\" = ________.
", "answer_text": "
f (– a – b)
\n
f (x) = e–x
\n
f (– a) = ea, f (b) = e–b
\n
\"\" = \"\"\t= ea + b
\n
\t\t\t= e– (– a – b)
\n
\t\t\t= f (– a – b)
\n
", "type": "FB", "type_uncertain": false, "options": {}, "correct_option": null, "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0708-018.png", "position": "stem", "context": "14. òu f ( x ) = e – x íkku, = ________ ." }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-006.png", "position": "answer", "context": "= = e a + b" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-0071.png", "position": "answer", "context": "= = e a + b" }, { "id": "img-3", "path": "Chapter2/EQ-0405-220045.png", "position": "answer", "context": "18. f : R – {0} → R, f ( x ) = + Q x yLku f = nkuÞ, íkku P =…" }, { "id": "img-4", "path": "Chapter2/EQ-0405-220122.png", "position": "answer", "context": "18. f : R – {0} → R, f ( x ) = + Q x yLku f = nkuÞ, íkku P =…" }, { "id": "img-5", "path": "Chapter2/EQ-0405-220141.png", "position": "answer", "context": "18. f : R – {0} → R, f ( x ) = + Q x yLku f = nkuÞ, íkku P =…" }, { "id": "img-6", "path": "Chapter2/EQ-0327-100705.png", "position": "answer", "context": "f ( x ) = + Q x" }, { "id": "img-7", "path": "Chapter2/EQ-0405-220254.png", "position": "answer", "context": "∴ f = 6 +" }, { "id": "img-8", "path": "Chapter2/EQ-0405-220416.png", "position": "answer", "context": "∴ f = 6 +" }, { "id": "img-9", "path": "Chapter2/EQ-0405-220431.png", "position": "answer", "context": "∴ =" }, { "id": "img-10", "path": "Chapter2/EQ-0405-220545.png", "position": "answer", "context": "∴ =" }, { "id": "img-11", "path": "Chapter2/EQ-0405-221113.png", "position": "answer", "context": "19. f : N → R, f ( x ) = îkhk ÔÞkÏÞkrÞík rðÄuÞ {kxu = ______…" }, { "id": "img-12", "path": "Chapter2/EQ-0405-221441.png", "position": "answer", "context": "=" }, { "id": "img-13", "path": "Chapter2/EQ-0405-221452.png", "position": "answer", "context": "=" }, { "id": "img-14", "path": "Chapter2/EQ-0405-222456.png", "position": "answer", "context": "23. òu f ( x ) = íkku x = f ( y )" }, { "id": "img-15", "path": "Chapter2/EQ-0405-222622.png", "position": "answer", "context": "∴ y =" }, { "id": "img-16", "path": "Chapter2/EQ-0405-222715.png", "position": "answer", "context": "∴ x =" }, { "id": "img-17", "path": "Chapter2/EQ-0405-222737.png", "position": "answer", "context": "∴ x =" }, { "id": "img-18", "path": "Chapter2/EQ-0405-223028.png", "position": "answer", "context": "24. h ( x ) = ÔÞkÏÞkrÞík Úkðk {kxu sYhe «Ëuþ ________ nkuÞ." }, { "id": "img-19", "path": "Chapter2/EQ-0405-223123.png", "position": "answer", "context": "rðÄuÞ h ( x ) = ÔÞkÏÞkrÞík nkuÞ, íkku g ( x ) ≠ 0" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "14", "original_raw_text": "\tòu f(x) = e–x íkku, = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "boundary_log": [ "leading-marker-stripped" ], "section": "NCERT Exemplar MCQs", "section_id": "2.9" } } ] }, { "section_id": "2.12", "section_title": "Multiple Choice Questions (MCQs)", "heading_text": "Multiple Choice Questions (MCQs)", "detected_type": "MCQ", "match_confidence": 1.0, "questions": [ { "sequence_no": 73, "question_text": "
\tòu (x – y, x + y) = (6, 10), íkku x yLku y þkuÄku.
", "answer_text": "
(x – y, x + y) = (6, 10)
\n
\\ x – y = 6
\n
x + y = 10
\n
\t\t2x = 16
\n
\\ x = 8
\n
\\ x = 8 Lku x – y = 6{kt {qfíkkt,
\n
\\ 8 – y = 6
\n
\\ y = 2
", "type": "MCQ", "type_uncertain": false, "options": { "A": "x = – 8, y = 2", "B": "x = 8, y = 2", "C": "x = 8, y = – 2", "D": "x = – 8, y = – 2" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "1", "original_raw_text": "\tòu (x – y, x + y) = (6, 10), íkku x yLku y þkuÄku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 74, "question_text": "
\tòu A = {2, 4, 5}, B = {7, 8, 9}
\n
íkku n(A × B) = _______.
", "answer_text": "
A = {2, 4, 5}, B = {7, 8, 9}
\n
\tynª, n(A) = 3, n(B) = 3
\n
\\ n(A × B)\t= n(A) × n(B)
\n
\t\t= 3 × 3
\n
\t\t= 9
", "type": "MCQ", "type_uncertain": false, "options": { "A": "6", "B": "9", "C": "3", "D": "0" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "2", "original_raw_text": "\tòu A = {2, 4, 5}, B = {7, 8, 9}\n íkku n(A × B) = _______.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 75, "question_text": "
\tòu A = {a, b}, B = {c, d}, C = {d, e}, íkku
{(a, c), (a, d), (a, e), (b, c), (b, d), (b, e)} yu ________ çkhkçkh Au.
", "answer_text": "
ynª, B ∪ C\t= {c, d} ∪ {d, e}
\n
\t\t\t\t= {c, d, e}
\n
A × (B ∪ C)
\n
\t= {a, b} × {c, d, e}
\n
\t\t= {(a, c), (a, d), (a, e), (b, c),
\n
(b, d), (b, e)}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "A ∩ (B ∪ C)", "B": "A ∪ (B ∩ C)", "C": "A × (B ∪ C)", "D": "A × (B ∩ C)" }, "correct_option": "C", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "3", "original_raw_text": "\tòu A = {a, b}, B = {c, d}, C = {d, e}, íkku{(a, c), (a, d), (a, e), (b, c), (b, d), (b, e)} yu ________ çkhkçkh Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 76, "question_text": "
\tòu A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5} íkku,
(A – C) × (B – C) = ________.
", "answer_text": "
A – B\t= {1, 2, 4} – {2, 4, 5}
\n
\t\t\t= {1}
\n
B – C\t= {2, 4, 5} – {2, 5}
\n
\t\t\t= {4}
\n
\t(A – B) × (B – C)\t= {1} × {4}
\n
\t\t\t= {(1, 4)}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "{(1, 2), (1, 5), (2, 5)}", "B": "{(1, 4)}", "C": "(1, 4)", "D": "ykÃku÷ Ãkife yuf Ãký Lknª" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "4", "original_raw_text": "\tòu A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5} íkku,(A – C) × (B – C) = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 77, "question_text": "
\tòu (1, 3), (2, 5) yLku (3, 3) yu A × BLkk ½xfku nkuÞ yLku òu A × B{kt fw÷ 6 ½xfku Au íkku A × BLkk çkkfeLkk ½xfku {u¤ðku.
", "answer_text": "
ynª, (1, 3), (2, 5) yLku (3, 3)
\n
yu A × BLkk ½xfku Au.
\n
\\ A = {1, 2, 3}, B = {3, 5}
\n
\\ A × B\t= {1, 2, 3} × {3, 5}
\n
\t\t\t= {(1, 3), (1, 5), (2, 3),
\n
(2, 5), (3, 3), (3, 5)}
\n
\\\tA × BLkk çkkfe ½xfku
\n
(1, 5), (2, 3), (3, 5) Au.
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(1, 5), (2, 3), (3, 5)", "B": "(5, 1), (3, 2), (5, 3)", "C": "(1, 5), (2, 3), (5, 3)\t", "D": "ykÃku÷ Ãkife yuf Ãký Lknª" }, "correct_option": "A", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "5", "original_raw_text": "\tòu (1, 3), (2, 5) yLku (3, 3) yu A × BLkk ½xfku nkuÞ yLku òu A × B{kt fw÷ 6 ½xfku Au íkku A × BLkk çkkfeLkk ½xfku {u¤ðku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 78, "question_text": "
\tòu A = {1, 2, 3}, B = {3, 8} íkku,
\n
(A ∪ B) × (A ∩ B) = ________ .
", "answer_text": "
A ∪ B\t= {1, 2, 3} ∪ {3, 8}
\n
\t\t= {1, 2, 3, 8}
\n
A ∩ B\t= {1, 2, 3} ∩ {3, 8}
\n
\t\t\t= {3}
\n
\t(A ∪ B) × (B ∩ C)\t
\n
\t\t= {1, 2, 3, 8} × {3}
\n
\t\t= {(1, 3), (2, 3), (3, 3), (8, 3)}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "{(3, 1), (3, 2), (3, 3), (3, 8)}", "B": "{(1, 3), (2, 3), (3, 3), (8, 3)}", "C": "{(1, 2), (2, 2), (3, 3), (8, 8)}", "D": "{(8, 3), (8, 2), (8, 1), (8, 8)}" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "6", "original_raw_text": "\tòu A = {1, 2, 3}, B = {3, 8} íkku, \n (A ∪ B) × (A ∩ B) = ________ .", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 79, "question_text": "
\tòu A = {2, 3, 5}, B = {2, 5, 6} íkku,
\n
(A – B) × (A ∩ B) = ________.
", "answer_text": "
A = {2, 3, 5}, B = {2, 5, 6}
\n
A – B\t= {2, 3, 5} – {2, 5, 6}
\n
\t\t\t= {3}
\n
A ∩ B\t= {2, 3, 5} ∩ {2, 5, 6}
\n
\t\t\t= {2, 5}
\n
\t(A – B) × (A ∩ B)\t
\n
\t\t\t= {3} × {2, 5}
\n
\t\t\t= {(3, 2), (3, 5)}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "{(3, 2), (3, 3), (3, 5)}", "B": "{(3, 2), (3, 5), (3, 6)}", "C": "{(3, 2), (3, 5)}", "D": "ykÃku÷ Ãkife yuf Ãký Lknª" }, "correct_option": "C", "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "7", "original_raw_text": "\tòu A = {2, 3, 5}, B = {2, 5, 6} íkku, \n (A – B) × (A ∩ B) = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 80, "question_text": "
\tòu n(A) = 4, n(B) = 3, n(A × B × C) = 24, íkku,
n(C) = _________.
", "answer_text": "
n(A × B × C) = 24
\n
\\ n(A) ⋅ n(B) ⋅ n(C) = 24
\n
\\ 4 × 3 × n(C) = 24
\n
\\ n(C) = 2
", "type": "MCQ", "type_uncertain": false, "options": { "A": "228", "B": "1", "C": "12", "D": "2" }, "correct_option": "D", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "8", "original_raw_text": "\tòu n(A) = 4, n(B) = 3, n(A × B × C) = 24, íkku,n(C) = _________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 81, "question_text": "
\tòu A = {1, 2, 3, 4}, B = {a, b} yLku f : A → B íkku,
A × B = _________.
", "answer_text": "
A × B\t= {1, 2, 3, 4} × {a, b}
\n
\t\t\t= {(1, a), (1, b), (2, a),
\n
(2, b), (3, a), (3, b),
\n
(4, a), (4, b)}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "{(a, 1), (3, b)}", "B": "{(a, 2), (4, b)}", "C": "{(1, a), (1, b), (2, a), (2, b), (3, a), (3, b), (4, a), (4, b)}", "D": "yuf Ãký Lknª" }, "correct_option": "C", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "9", "original_raw_text": "\tòu A = {1, 2, 3, 4}, B = {a, b} yLku f : A → B íkku,A × B = _________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 82, "question_text": "
\tòu çku øký A yLku B{kt 99 Mkk{kLÞ ½xfku Au. íkku
A × B yLku B × ALkk Mkk{kLÞ ½xfkuLke MktÏÞk {u¤ðku.
", "answer_text": "
n((A × B) ∩ (B × A))
\n
\t= n((A ∩ B) × (B ∩ A))
\n
\t= n(A ∩ B) ⋅ n(B ∩ A)
\n
\t\t= 99 × 99
\n
\t\t= 992
", "type": "MCQ", "type_uncertain": false, "options": { "A": "299", "B": "992", "C": "100", "D": "18" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "10", "original_raw_text": "\tòu çku øký A yLku B{kt 99 Mkk{kLÞ ½xfku Au. íkkuA × B yLku B × ALkk Mkk{kLÞ ½xfkuLke MktÏÞk {u¤ðku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 83, "question_text": "
\tòu A = {x | x2 – 5x + 6 = 0}, B = {2, 4},
C = {4, 5} íkku A × (B ∩ C) = _________.
", "answer_text": "
A = {x | x2 – 5\"\" + 6 = 0}
\n
–3
\n
– 6
\n
– 2
\n
\\ x2 – 5\"\" + 6 = 0
\n
\\\t(x – 3) (\"\" – 2) = 0
\n
\\ x = 3, \"\" = 2
\n
\\ A = {2, 3}
\n
\tB = {2, 4}, C = {4, 5}
\n
B ∩ C = {2, 4} ∩ {4, 5}
\n
= {4}
\n
A × (B ∩ C)\t= {2, 3} × {4}
\n
\t\t\t= {(2, 4), (3, 4)}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "{(2, 4), (3, 4)}", "B": "{(4, 2), (4, 3)}", "C": "{(2, 4), (3, 4), (4, 4)}", "D": "{(2, 2), (3, 3), (4, 4), (5, 5)}" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/121.png", "position": "answer", "context": "11. A = { x | x 2 – 5 + 6 = 0}" }, { "id": "img-1", "path": "Chapter2/121.png", "position": "answer", "context": "\\ x 2 – 5 + 6 = 0" }, { "id": "img-2", "path": "Chapter2/121.png", "position": "answer", "context": "\\ ( x – 3) ( – 2) = 0" }, { "id": "img-3", "path": "Chapter2/121.png", "position": "answer", "context": "\\ x = 3, = 2" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "11", "original_raw_text": "\tòu A = {x | x2 – 5x + 6 = 0}, B = {2, 4}, C = {4, 5} íkku A × (B ∩ C) = _________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 84, "question_text": "
\tòu A = {1, 2, 3, 4, 5}, B = {2, 3, 6, 7} íkku,
(A × B) ∩ (B × A)Lke MkÇÞ MktÏÞk _________ Au.
", "answer_text": "
ynª, øký A yLku øký BLkk
\n
\tMkk{kLÞ MkÇÞ 2 Au.
\n
\\\tA × B yLku B × ALkk
\n
\t\t\tMkk{kLÞ MkÇÞ 22 {¤u.
\n
\\\tn[(A × B) ∩ (B × A)]\t= 22
\n
\t\t\t= 4
\n
n(A × A) = n(A) ⋅ n(A)
\n
\t= n ⋅ n = n2 {kxu A ÃkhLkk
\n
\tçkÄk MktçktÄkuLke MktÏÞk = 2n2
", "type": "MCQ", "type_uncertain": false, "options": { "A": "18", "B": "6", "C": "4", "D": "0" }, "correct_option": "C", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "12", "original_raw_text": "\tòu A = {1, 2, 3, 4, 5}, B = {2, 3, 6, 7} íkku,(A × B) ∩ (B × A)Lke MkÇÞ MktÏÞk _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 85, "question_text": "
\tÄkhku fu, n(A) = n, íkku A ÃkhLkk çkÄk MktçktÄkuLke MktÏÞk ________ Au.
", "answer_text": "", "type": "MCQ", "type_uncertain": false, "options": { "A": "2n", "B": "2(n)!", "C": "2n2", "D": "2" }, "correct_option": "A", "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "13", "original_raw_text": "\tÄkhku fu, n(A) = n, íkku A ÃkhLkk çkÄk MktçktÄkuLke MktÏÞk ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "hints_block", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 86, "question_text": "
\tøký A = {1, 2, 3, 4, 5} ÃkhLkku MktçktÄ
\n
R = {(x, y) : |x2 – y2| < 16} ðzu ÔÞkÏÞkrÞík Au,
\n
\tíkku RLku ÞkËeLke heíku ________ ÷¾kÞ Au.
", "answer_text": "
A = {1, 2, 3, 4, 5} íkÚkk
\n
|x2 – y2| < 16 ÚkkÞ íkuðe ¢{Þwõík òuz
\n
{(3, 3), (3, 4), (5, 4), (4, 3)} Au.
\n
\t\t= 3 × 3
\n
\t\t= 9
\n
\tA ÃkhLkk r¼LLk MktçktÄLke MktÏÞk = 29
", "type": "MCQ", "type_uncertain": false, "options": { "A": "{(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)}", "B": "{(2, 2), (3, 2), (4, 2), (2, 4)}", "C": "{(3, 3), (3, 4), (5, 4), (4, 3), (3, 1)}", "D": "{(3, 3), (3, 4), (5, 4), (4, 3)}" }, "correct_option": "D", "images": [], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-8", "source_number": "14", "original_raw_text": "\tøký A = {1, 2, 3, 4, 5} ÃkhLkku MktçktÄ \n R = {(x, y) : |x2 – y2| < 16} ðzu ÔÞkÏÞkrÞík Au, \n\tíkku RLku ÞkËeLke heíku ________ ÷¾kÞ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 87, "question_text": "
\tòu A = {1, 2, 3}, íkku A ÃkhLkk r¼LLk MktçktÄLke MktÏÞk {u¤ðku.
", "answer_text": "", "type": "MCQ", "type_uncertain": false, "options": { "A": "29", "B": "6", "C": "8", "D": "yuf Ãký Lknª" }, "correct_option": "A", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "15", "original_raw_text": "\tòu A = {1, 2, 3}, íkku A ÃkhLkk r¼LLk MktçktÄLke MktÏÞk {u¤ðku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "hints_block", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 88, "question_text": "
\t«kf]ríkf MktÏÞk øký Ãkh MktçktÄ R yu {(a, b) | a – b = 3} îkhk ÔÞkÏÞkrÞík nkuÞ íkku, R _________ .
\n
rðÄuÞ, rðÄuÞLkk «fkh, «Ëuþ yLku rðMíkkh
", "answer_text": "
R = {(a, b) | a, b ∈ N, a – b = 3}
\n
\t= {(4, 1), (5, 2), (6, 3), (7, 4), ...}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "{(1, 4), (2, 5), (3, 6), .......}", "B": "{(4, 1), (5, 2), (6, 3), .......}", "C": "{(1, 3), (2, 6), (3, 9), .......}", "D": "ykÃku÷ Ãkife yuf Ãký Lknª" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "16", "original_raw_text": "\t«kf]ríkf MktÏÞk øký Ãkh MktçktÄ R yu {(a, b) | a – b = 3} îkhk ÔÞkÏÞkrÞík nkuÞ íkku, R _________ .\nrðÄuÞ, rðÄuÞLkk «fkh, «Ëuþ yLku rðMíkkh", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 89, "question_text": "
f(x) = 2x2 – 1, g(x) = 1 – 3x Mk{kLk çkLku íku heíku x þkuÄku.
\n
18.\tòu f (x) = 4x3 + 3x2 + 3x + 4, íkku x3 \"\" = ____.
", "answer_text": "
f(x) = 2x2 – 1,
\n
g(x) = 1 – 3x
\n
\\ f(x) = g(x)
\n
\\ 2x2 – 1 = 1 – 3x
\n
\\ 2x2 + 3x – 2 = 0
\n
\\ 2x2 + 4x – x – 2 = 0
\n
\\ 2x (x + 2) – (x + 2) = 0
\n
+4
\n
– 4
\n
– 4
\n
\\ (x + 2) (2x – 1) = 0
\n
\\ x = – 2, x = \"\"
\n
\\ x = \"\"
\n
", "type": "MCQ", "type_uncertain": false, "options": { "A": "f (– x)", "B": "\"\"", "C": "\"\"", "D": "f (x)" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/EQ-0129-120400.png", "position": "option:A", "context": "(A) (B)" }, { "id": "img-1", "path": "Chapter2/EQ-0129-120442.png", "position": "option:A", "context": "(A) (B)" }, { "id": "img-2", "path": "Chapter2/EQ-0129-120516.png", "position": "option:C", "context": "( C) (D) ykÃku÷ Ãkife yuf Ãký Lknª." }, { "id": "img-3", "path": "Chapter2/EQ-0706-151529.png", "position": "stem", "context": "18. òu f ( x ) = 4 x 3 + 3 x 2 + 3 x + 4, íkku x 3 = ____ ." }, { "id": "img-4", "path": "Chapter2/EQ-0706-151610.png", "position": "option:A", "context": "(A) f (– x )\t(B) ( C) (D) f ( x )" }, { "id": "img-5", "path": "Chapter2/EQ-0706-151638.png", "position": "option:A", "context": "(A) f (– x )\t(B) ( C) (D) f ( x )" }, { "id": "img-0", "path": "Chapter2/EQ-1112-114301.png", "position": "answer", "context": "\\ x = – 2, x =" }, { "id": "img-1", "path": "Chapter2/EQ-0129-120400.png", "position": "answer", "context": "\\ x =" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "f = 4 + 3" }, { "id": "img-3", "path": "Chapter2/EQ-0706-152550.png", "position": "answer", "context": "f = 4 + 3" }, { "id": "img-4", "path": "Chapter2/EQ-0706-152559.png", "position": "answer", "context": "f = 4 + 3" }, { "id": "img-5", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "+ 3 + 4" }, { "id": "img-6", "path": "Chapter2/EQ-0706-152635.png", "position": "answer", "context": "= + + + 4" }, { "id": "img-7", "path": "Chapter2/EQ-0706-152645.png", "position": "answer", "context": "= + + + 4" }, { "id": "img-8", "path": "Chapter2/EQ-0706-152656.png", "position": "answer", "context": "= + + + 4" }, { "id": "img-9", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "x 3 f = x 3" }, { "id": "img-10", "path": "Chapter2/EQ-0706-152746.png", "position": "answer", "context": "x 3 f = x 3" }, { "id": "img-11", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "\\ x 3 f = 4 + 3 x + 3 x 2 + 4 x 3" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-54", "source_number": "17", "original_raw_text": " f(x) = 2x2 – 1, g(x) = 1 – 3x Mk{kLk çkLku íku heíku x þkuÄku.\n18.\tòu f (x) = 4x3 + 3x2 + 3x + 4, íkku x3 = ____. ", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 90, "question_text": "
\tòu f : R → R {kxu rðÄuÞ f(x) = 2x + |x| heíku ÔÞkÏÞkrÞík nkuÞ íkku, f(2x) + f(– x) – f(x) = _________.
", "answer_text": "
ynª,\tf(2x)\t= 2(2x) = 2(2x) + |2x|
\n
\t\t\t\t= f (–x) = 2(– x) + |x|
\n
\t\t\t\t= 4x + 2|x|
\n
f(– x)\t= – 2x + |– x|
\n
\t\t\t\t= – 2x + |x|
\n
f(x)\t= 2x + |x|
\n
\\ f(2x) + f(– x) – f(x)\t
\n
\t\t= 4x + 2|x| – 2x + |x| – 2x – |x|
\n
\t\t= 2|x|
", "type": "MCQ", "type_uncertain": false, "options": { "A": "2x", "B": "2|x|", "C": "– 2x", "D": "– 2|x|" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "19", "original_raw_text": "\tòu f : R → R {kxu rðÄuÞ f(x) = 2x + |x| heíku ÔÞkÏÞkrÞík nkuÞ íkku, f(2x) + f(– x) – f(x) = _________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 91, "question_text": "
\tòu f(x) = cos[π2]x + cos[– π2]x íkku,
", "answer_text": "
f(x)\t= cos[π2]x + cos[– π2]x
\n
\t\t\t= cos9x + cos (– 10x)
\n
f(x)\t= cos9x + cos 10x
\n
\t\t\t( cos Þwø{ rðÄuÞ Au.)
\n
\"\"
\n
\\ f\"\"\t= cos\"\" + cos 5π
\n
\t\t\t= 0 – 1
\n
\t\t\t= – 1
", "type": "MCQ", "type_uncertain": false, "options": { "A": "f\"\" = 2", "B": "f(– π) = 2", "C": "f(π) = 1", "D": "f\"\" = – 1" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/EQ-0706-153615.png", "position": "option:A", "context": "(A) f = 2\t(B) f (– π ) = 2" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0708-015.png", "position": "option:C", "context": "( C) f ( π ) = 1\t(D) f = – 1" }, { "id": "img-0", "path": "Chapter2/129.png", "position": "answer", "context": "" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0708-015.png", "position": "answer", "context": "\\ f = cos + cos 5 π" }, { "id": "img-2", "path": "Chapter2/EQ-0706-154015.png", "position": "answer", "context": "\\ f = cos + cos 5 π" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "20", "original_raw_text": "\tòu f(x) = cos[π2]x + cos[– π2]x íkku, ", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 92, "question_text": "
f(x) = x3 – \"\", íkku f(x) + f\"\" = ________.
", "answer_text": "
\\ f(x) = x3 – \"\"
\n
\t\\ f\"\" = \"\" – \"\"
\n
\t\t\t= \"\" – \"\"
\n
\t\t\t= \"\" – x3
\n
\t\\\tf(x) + f\"\"
\n
= x3 – \"\" + \"\" – x3
\n
= 0
", "type": "MCQ", "type_uncertain": false, "options": { "A": "2x3", "B": "\"\"", "C": "1", "D": "0" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1215-155237.png", "position": "stem", "context": "21. f ( x ) = x 3 – , íkku f ( x ) + f = ________ ." }, { "id": "img-1", "path": "Chapter2/EQ-1112-120728.png", "position": "stem", "context": "21. f ( x ) = x 3 – , íkku f ( x ) + f = ________ ." }, { "id": "img-2", "path": "Chapter2/EQ-1116-173041.png", "position": "option:A", "context": "(A) 2 x 3 (B) ( C) 1 (D) 0" }, { "id": "img-0", "path": "Chapter2/EQ-1215-160637.png", "position": "answer", "context": "21. \\ f ( x ) = x 3 –" }, { "id": "img-1", "path": "Chapter2/EQ-1112-121016.png", "position": "answer", "context": "\\ f = –" }, { "id": "img-2", "path": "Chapter2/EQ-1117-201558.png", "position": "answer", "context": "\\ f = –" }, { "id": "img-3", "path": "Chapter2/EQ-1117-201623.png", "position": "answer", "context": "\\ f = –" }, { "id": "img-4", "path": "Chapter2/EQ-1215-160637.png", "position": "answer", "context": "= –" }, { "id": "img-5", "path": "Chapter2/EQ-1117-201701.png", "position": "answer", "context": "= –" }, { "id": "img-6", "path": "Chapter2/EQ-1215-160637.png", "position": "answer", "context": "= – x 3" }, { "id": "img-7", "path": "Chapter2/EQ-1112-121016.png", "position": "answer", "context": "\\ f ( x ) + f" }, { "id": "img-8", "path": "Chapter2/EQ-1215-160637.png", "position": "answer", "context": "= x 3 – + – x 3" }, { "id": "img-9", "path": "Chapter2/EQ-1215-160637.png", "position": "answer", "context": "= x 3 – + – x 3" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "21", "original_raw_text": " f(x) = x3 – , íkku f(x) + f = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 93, "question_text": "
\tòu f(x) = 1 – \"\" nkuÞ, íkku f\"\" = ________.
", "answer_text": "
f(x) = 1 – \"\"
\n
\\ f\"\"\t= \"\" = 1 – x
\n
\t\\\tf\"\" = f(1 – x)
\n
\t\t\t= 1 – \"\"
\n
\t\t\t= \"\"
\n
\t\t\t= \"\"
\n
\t\t\t= \"\"
", "type": "MCQ", "type_uncertain": false, "options": { "A": "\"\"", "B": "\"\"", "C": "\"\"", "D": "\"\"" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1104-123031.png", "position": "stem", "context": "22. òu f ( x ) = 1 – nkuÞ, íkku f = ________ ." }, { "id": "img-1", "path": "Chapter2/EQ-1116-165800.png", "position": "stem", "context": "22. òu f ( x ) = 1 – nkuÞ, íkku f = ________ ." }, { "id": "img-2", "path": "Chapter2/EQ-1116-172721.png", "position": "option:A", "context": "(A) (B) ( C) (D)" }, { "id": "img-3", "path": "Chapter2/EQ-1104-124105.png", "position": "option:A", "context": "(A) (B) ( C) (D)" }, { "id": "img-4", "path": "Chapter2/EQ-1116-172740.png", "position": "option:A", "context": "(A) (B) ( C) (D)" }, { "id": "img-5", "path": "Chapter2/EQ-1116-172753.png", "position": "option:A", "context": "(A) (B) ( C) (D)" }, { "id": "img-0", "path": "Chapter2/EQ-0327-100705.png", "position": "answer", "context": "22. f ( x ) = 1 –" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-027.png", "position": "answer", "context": "\\ f = = 1 – x" }, { "id": "img-2", "path": "Chapter2/EQ-1215-160418.png", "position": "answer", "context": "\\ f = = 1 – x" }, { "id": "img-3", "path": "Chapter2/EQ-1117-201330.png", "position": "answer", "context": "\\ f = f (1 – x )" }, { "id": "img-4", "path": "Chapter2/EQ-1117-201403.png", "position": "answer", "context": "= 1 –" }, { "id": "img-5", "path": "Chapter2/EQ-1117-201415.png", "position": "answer", "context": "=" }, { "id": "img-6", "path": "Chapter2/EQ-1117-201447.png", "position": "answer", "context": "=" }, { "id": "img-7", "path": "Chapter2/EQ-1116-172721.png", "position": "answer", "context": "=" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "22", "original_raw_text": "\tòu f(x) = 1 – nkuÞ, íkku f = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 94, "question_text": "
\tçknwÃkËe f(x) = xn + 1 {kxu òu f(12) = 1729,
íkku f(15) = ?
", "answer_text": "
f(x) = xn + 1 íkÚkk f(12) = 1729
\n
\t\\ 1729 = (12)n + 1
\n
\\ 1728 = (12)n = (12)3
\n
\\ n = 3
\n
f(15)\t= (15)n + 1
\n
\t\t\t= (15)3 + 1
\n
\t\t\t= 3375 + 1
\n
\t\t\t= 3376
", "type": "MCQ", "type_uncertain": false, "options": { "A": "1001", "B": "2075", "C": "3357", "D": "3376" }, "correct_option": "D", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "23", "original_raw_text": "\tçknwÃkËe f(x) = xn + 1 {kxu òu f(12) = 1729,íkku f(15) = ?", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 95, "question_text": "
\tòu f(x) yu rî½kík çknwÃkËe nkuÞ, f(0) = 4 íkÚkk
f(x + 3) – f(x) = 3x + 5, íkku íku rî½kík çknwÃkËe ________ Au.
", "answer_text": "
Äkhku fu, f(x) = ax2 + bx + c ÷uíkkt
\n
\tíkÚkk f(0) = 4
\n
\\\tf(0) = a(0)2 + b(0) + c
\n
\\\t4 = c íkÚkk
\n
f(x + 3) – f(x) = 3x + 5 Au.
\n
\\\ta(x + 3)2 + b(x + 3) + c
\n
– (ax2 + bx + c) = 3x + 5
\n
\\\ta(x2 + 6x + 9) + bx + 3b + c
\n
– ax2 – bx – c = 3x + 5
\n
\\\tax2 + 6ax + 9a + bx + 3b
\n
– ax2 – bx = 3x + 5
\n
\\\t6ax + 9a + 3b = 3x + 5
\n
\tçktLku çkksw xLkk Mknøkwýf yLku y[¤ ÃkËku Mkh¾kðíkkt,
\n
\\\t6a = 3\t\t9a + 3b = 5
\n
\\\ta = \"\" \\\t\"\" + 3b = 5
\n
\\\t3b = 5 – \"\"
\n
\\\t3b = \"\"
\n
\\\tb = \"\"
\n
\\ çknwÃkËe :\t\"\"x2 + \"\"x + 4
\n
\t\t\t= \"\"(3x2 + x + 24)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "x2 + x + 24", "B": "3x2 + x + 24", "C": "\"\"(x2 + 2x + 9)", "D": "\"\"(3x2 + x + 24)" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1102-143253.png", "position": "option:C", "context": "(C) ( x 2 + 2 x + 9) (D ) (3 x 2 + x + 24)" }, { "id": "img-1", "path": "Chapter2/EQ-1116-175404.png", "position": "option:C", "context": "(C) ( x 2 + 2 x + 9) (D ) (3 x 2 + x + 24)" }, { "id": "img-0", "path": "Chapter2/EQ-1112-114301.png", "position": "answer", "context": "\\ a = \\ + 3 b = 5" }, { "id": "img-1", "path": "Chapter2/EQ-1117-203258.png", "position": "answer", "context": "\\ a = \\ + 3 b = 5" }, { "id": "img-2", "path": "Chapter2/EQ-1117-203258.png", "position": "answer", "context": "\\ 3 b = 5 –" }, { "id": "img-3", "path": "Chapter2/EQ-1112-114301.png", "position": "answer", "context": "\\ 3 b =" }, { "id": "img-4", "path": "Chapter2/EQ-1116-175404.png", "position": "answer", "context": "\\ b =" }, { "id": "img-5", "path": "Chapter2/EQ-1112-114301.png", "position": "answer", "context": "\\ çknwÃkËe : x 2 + x + 4" }, { "id": "img-6", "path": "Chapter2/EQ-1116-175404.png", "position": "answer", "context": "\\ çknwÃkËe : x 2 + x + 4" }, { "id": "img-7", "path": "Chapter2/EQ-1116-175404.png", "position": "answer", "context": "= (3 x 2 + x + 24)" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "24", "original_raw_text": "\tòu f(x) yu rî½kík çknwÃkËe nkuÞ, f(0) = 4 íkÚkkf(x + 3) – f(x) = 3x + 5, íkku íku rî½kík çknwÃkËe ________ Au. ", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 96, "question_text": "
f : R → R, f(x) = \"\"
\n
íkku f(– 1) + f(2) + f(4) = ?
", "answer_text": "
f(– 1) = 5(– 1) = – 5,
\n
f(2) = (2)2 = 4,
\n
f(4) = – 3(4) = – 12
\n
fkhý fu,\tx ≤ 1 {kxu, f(x) = 5x,
\n
\t\t1 < x ≤ 3 {kxu, f(x) = x2
\n
íkÚkk\tx > 3 {kxu, f(x) = – 3x
\n
ykÃku÷ Au.
\n
\\ f(– 1) + f(2) + f(4)
\n
\t\t\t= – 5 + 4 – 12
\n
\t\t\t= – 13
", "type": "MCQ", "type_uncertain": false, "options": { "A": "– 13", "B": "13", "C": "7", "D": "– 7" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/119.png", "position": "stem", "context": "25. f : R → R, f ( x ) =" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "25", "original_raw_text": " f : R → R, f(x) = \n íkku f(– 1) + f(2) + f(4) = ?", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 97, "question_text": "
g(x) = sin [π2] x + sin [– π2] x, ßÞkt, [ ⋅ ] yu {n¥k{ ÃkqýkOf rðÄuÞ Ëþkoðu Au, íkku g\"\" = ________.
", "answer_text": "
g(x) = sin [π2]x + sin [– π2]x
\n
\\ g(x)\t= sin [9.8596]x
\n
+ sin [– 9.8596]x
\n
= sin 9x + sin (– 10x)
\n
\\ g(x)\t= sin 9x – sin 10x
\n
( sin yÞwø{ rðÄuÞ
\n
nkuðkÚke sin(– θ) = – sinθ)
\n
\\ g\"\" = sin \"\" – sin\"\"
\n
\t\t= sin \"\" – sin 5π
\n
\t\t= 1 – 0
\n
\t\t= 1
\n
\\ u(– 10)\t= \"\"(–10) – 32
\n
\t\t\t\t= – 18 – 32
\n
\t\t\t\t= – 50
", "type": "MCQ", "type_uncertain": false, "options": { "A": "0", "B": "1", "C": "2", "D": "ykÃku÷ Ãkife yuf Ãký Lknª." }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1117-193614.png", "position": "stem", "context": "26. g ( x ) = sin [ π 2 ] x + sin [ – π 2 ] x , ßÞkt, [ ⋅ ] …" }, { "id": "img-0", "path": "Chapter2/EQ-1118-160041.png", "position": "answer", "context": "\\ g = sin – sin" }, { "id": "img-1", "path": "Chapter2/EQ-1118-160105.png", "position": "answer", "context": "\\ g = sin – sin" }, { "id": "img-2", "path": "Chapter2/EQ-1118-160117.png", "position": "answer", "context": "\\ g = sin – sin" }, { "id": "img-3", "path": "Chapter2/EQ-1118-160105.png", "position": "answer", "context": "= sin – sin 5 π" }, { "id": "img-4", "path": "Chapter2/EQ-1104-145912.png", "position": "answer", "context": "\\ u (– 10)\t= (–10) – 32" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "26", "original_raw_text": " g(x) = sin [π2] x + sin [– π2] x, ßÞkt, [ ⋅ ] yu {n¥k{ ÃkqýkOf rðÄuÞ Ëþkoðu Au, íkku g = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 98, "question_text": "
\tòu u(c) = \"\" – 32, íkku u(– 10) = ________.
", "answer_text": "", "type": "MCQ", "type_uncertain": false, "options": { "A": "– 18", "B": "– 50", "C": "50", "D": "18" }, "correct_option": "C", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1104-145532.png", "position": "stem", "context": "27. òu u ( c ) = – 32, íkku u (– 10) = ________ ." } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "27", "original_raw_text": "\tòu u(c) = – 32, íkku u(– 10) = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "hints_block", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 99, "question_text": "
\tòu f(x) = \"\", íkku \"\" = ______, a = – 1.
", "answer_text": "
f(x) = \"\"
\n
\\ \"\"\t= \"\"×\"\"
\n
\t\t\t= \"\"
\n
a = – 1 ÷uíkkt ...
\n
= 0
", "type": "MCQ", "type_uncertain": false, "options": { "A": "0", "B": "– 1", "C": "1", "D": "Lk {¤u." }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1117-194454.png", "position": "stem", "context": "28. òu f ( x ) = , íkku = ______ , a = – 1 ." }, { "id": "img-1", "path": "Chapter2/EQ-1215-160025.png", "position": "stem", "context": "28. òu f ( x ) = , íkku = ______ , a = – 1 ." }, { "id": "img-0", "path": "Chapter2/EQ-1118-161402.png", "position": "answer", "context": "28. f ( x ) =" }, { "id": "img-1", "path": "Chapter2/EQ-1118-161454.png", "position": "answer", "context": "\\ = ×" }, { "id": "img-2", "path": "Chapter2/EQ-1118-161505.png", "position": "answer", "context": "\\ = ×" }, { "id": "img-3", "path": "Chapter2/EQ-1118-161523.png", "position": "answer", "context": "\\ = ×" }, { "id": "img-4", "path": "Chapter2/EQ-1118-161608.png", "position": "answer", "context": "=" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "28", "original_raw_text": "\tòu f(x) = , íkku = ______, a = – 1.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 100, "question_text": "
f(x) = \"\"Lkku «Ëuþ yLku rðMíkkh yLkw¢{u ______ yLku _________ ÚkkÞ.
", "answer_text": "
«Ëuþ = R – {3}
\n
x > 3 {kxu, ⇒ x – 3 > 0
\n
⇒ |x – 3| = x – 3
\n
⇒ f(x) = \"\" = 1
\n
x < 3 {kxu, ⇒ x – 3 < 0
\n
⇒ |x – 3| = – (x – 3)
\n
⇒ f(x)\t= \"\"
\n
\t\t\t\t= – 1
\n
\\ rðMíkkh = {– 1, 1}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "R, [– 1, 1]", "B": "R – {3}, {1, – 1}", "C": "R+, R", "D": "yuf Ãký Lknª" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/EQ-0706-154122.png", "position": "stem", "context": "29. f ( x ) = Lkku «Ëuþ yLku rðMíkkh yLkw¢{u ______ yLku ___…" }, { "id": "img-0", "path": "Chapter2/EQ-0706-154506.png", "position": "answer", "context": "⇒ f ( x ) = = 1" }, { "id": "img-1", "path": "Chapter2/EQ-0706-154558.png", "position": "answer", "context": "⇒ f ( x )\t=" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "29", "original_raw_text": " f(x) = Lkku «Ëuþ yLku rðMíkkh yLkw¢{u ______ yLku _________ ÚkkÞ.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 101, "question_text": "
log |x2 – 9|Lkku «Ëuþ _________ Au.
", "answer_text": "
ynª, x = – 3, 3 {kxu, |x2 – 9| = 0
\n
ykÚke, x = – 3 yLku 3 ykøk¤
\n
log |x2 – 9|Lkwt yÂMíkíð LkÚke.
\n
\\ «Ëuþ = R – {– 3, 3}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "R", "B": "R – [– 3, 3]", "C": "R – {– 3, 3}", "D": "yuf Ãký Lknª" }, "correct_option": "C", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "30", "original_raw_text": " log |x2 – 9|Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 102, "question_text": "
f (x) = \"\"Lkku «Ëuþ _________ Au.
", "answer_text": "
ynª, x + 3 > 0
\n
\\ x > – 3
\n
yLku x2 + 3x + 2 ≠ 0
\n
\\ (x + 2)(x + 1) ≠ 0
\n
\\ x ≠ – 2, x ≠ – 1
\n
\\ x ∈ R – {– 2, – 1}
\n
\\ «Ëuþ = (– 3, ∞) – {– 2, – 1}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "R – {– 1, – 2}", "B": "(– 2, ∞)", "C": "R – {– 1, – 2, – 3}", "D": "(– 3, ∞) – {– 1, – 2}" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-063.png", "position": "stem", "context": "31. f ( x ) = Lkku «Ëuþ _________ Au." } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "31", "original_raw_text": " f (x) = Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 103, "question_text": "
\trðÄuÞ f(x) = \"\"Lkku «Ëuþ ________ Au.
", "answer_text": "
rðÄuÞ f íÞkhu s ÔÞkÏÞkrÞík çkLku
\n
\tßÞkhu AuË ≠ 0.
\n
\tÄkhku fu,\tx2 + 3x + 2 = 0 ÷uíkkt,
\n
\\ (x + 2) (x + 1) = 0
\n
\\ x = – 2, x = – 1
\n
\\ «Ëuþ : R – {– 2, – 1}
", "type": "MCQ", "type_uncertain": false, "options": { "A": "R – {1, – 2}", "B": "R – {– 1, – 2}", "C": "R – {1, 2}", "D": "{– 1, – 2}" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1116-165932.png", "position": "stem", "context": "32. rðÄuÞ f ( x ) = Lkku «Ëuþ ________ Au." } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "32", "original_raw_text": "\trðÄuÞ f(x) = Lkku «Ëuþ ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 104, "question_text": "
\trðÄuÞ h(x) = \"\"Lkku «Ëuþ ________ Au.
", "answer_text": "
h(x) = \"\" íÞkhu s
\n
\tÔÞkÏÞkrÞík ÚkkÞ ßÞkhu
\n
\t\t16 – x2 ≥ 0
\n
\\ x2 – 16 ≤ 0
\n
\\\t(x – 4) (x + 4) ≤ 0
\n
\\ x ∈ [– 4, 4]
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(– 4, 4)", "B": "[– 4, 4)", "C": "[– 4, 4]", "D": "R – [– 4, 4]" }, "correct_option": "C", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1116-173120.png", "position": "stem", "context": "33. rðÄuÞ h ( x ) = Lkku «Ëuþ ________ Au." }, { "id": "img-0", "path": "Chapter2/EQ-1117-201942.png", "position": "answer", "context": "33. h ( x ) = íÞkhu s" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "33", "original_raw_text": "\trðÄuÞ h(x) = Lkku «Ëuþ ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 105, "question_text": "
\tðkMíkrðf rðÄuÞ f(x) = \"\"Lkku rðMíkkh ________ Au.
", "answer_text": "
heík : 1
\n
\tax2 + bx + c «fkhLke fkuE Ãký rî½kík çknwÃkËeLkku rðMíkkh Lke[u {wsçk þkuÄe þfkÞ Au :
\n
\"\"
\n
ßÞkt, D = b2 – 4ac
\n
ynª, x2 + 6x + 10Lku
\n
ax2 + bx + c MkkÚku Mkh¾kðíkkt,
\n
a = 1, b = 6, c = 10 íkÚkk a > 0
\n
\\ D\t= b2 – 4ac
\n
\t\t\t= (36) – 4(1)(10) = – 4
\n
\\ rðMíkkh : \"\"
\n
= \"\"
\n
\t\t\t= [1, ∞)
\n
heík : 2
\n
f(x)\t= \"\"
\n
\t\t= \"\"
\n
\t\t= \"\"
\n
\t∀ x ∈ R ⇒ (x + 3)2 > 0
\n
\t\t⇒ (x + 3)2 + 1 > 1
\n
\t\t⇒\"\" > 1
\n
\t\t⇒ f(x) > 1
\n
\t\\ f(x)Lkku rðMíkkh [1, ∞) Au.
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(1, ∞)", "B": "(– ∞, 1)", "C": "R", "D": "[1, ∞)" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1116-180056.png", "position": "stem", "context": "34. ðkMíkrðf rðÄuÞ f ( x ) = Lkku rðMíkkh ________ Au." }, { "id": "img-0", "path": "Chapter2/131.png", "position": "answer", "context": "" }, { "id": "img-1", "path": "Chapter2/EQ-1215-160952.png", "position": "answer", "context": "\\ rðMíkkh :" }, { "id": "img-2", "path": "Chapter2/EQ-1117-204848.png", "position": "answer", "context": "=" }, { "id": "img-3", "path": "Chapter2/EQ-0705-170733.png", "position": "answer", "context": "f ( x )\t=" }, { "id": "img-4", "path": "Chapter2/EQ-0705-170751.png", "position": "answer", "context": "=" }, { "id": "img-5", "path": "Chapter2/EQ-0705-171022.png", "position": "answer", "context": "=" }, { "id": "img-6", "path": "Chapter2/EQ-0705-171022.png", "position": "answer", "context": "⇒ > 1" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "34", "original_raw_text": "\tðkMíkrðf rðÄuÞ f(x) = Lkku rðMíkkh ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 106, "question_text": "
f(x) = [x] – xLkku rðMíkkh ________ Au.
", "answer_text": "
ynª,\tf (x)\t= [x] – x
\n
\t\t\t\t= – (x – [x])
\n
\t\t\tf (x)\t= [x] – x
\n
ßÞkt, {x} yu yÃkqýkOf rðÄuÞ Au.
\n
nðu,\t0 < {x} < 1
\n
⇒ –1 < – {x} < 0
\n
⇒ –1 < f (x) < 0
\n
⇒ f (x) ∈ (– 1, 0]
\n
∴ f (x)Lkku rðMíkkh (–1, 0]
", "type": "MCQ", "type_uncertain": false, "options": { "A": "[0, 1]", "B": "(–1, 0]", "C": "R", "D": "(–1, 1)" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "35", "original_raw_text": " f(x) = [x] – xLkku rðMíkkh ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 107, "question_text": "
f(x) = [x]Lkku rðMíkkh ________ Au.
", "answer_text": "
f(x) = [x],
\n
{n¥k{ ÃkqýkOf rðÄuÞLkku rðMíkkh
\n
Z (ÃkqýkOf MktÏÞk) nkuÞ Au.
", "type": "MCQ", "type_uncertain": false, "options": { "A": "Z+", "B": "N", "C": "Z–", "D": "Z" }, "correct_option": "D", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "36", "original_raw_text": " f(x) = [x]Lkku rðMíkkh ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 108, "question_text": "
f (x) = \"\" Lkku «Ëuþ {u¤ðku.
", "answer_text": "
«Ëuþ {u¤ððk {kxu,
\n
x – 1 ≠ 0\tx2 – 4 > 0
\n
\\ x ≠ 1\t\\ x2 > 4
\n
\\ | x | > 2
\n
\\ x ∈ (– ∞, – 2)
\n
∪ (2, ∞)
\n
\\ «Ëuþ : (– ∞, – 2) ∪ (2, ∞)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(1, 2)", "B": "(– ∞, – 2) ∪ (2, ∞)", "C": "(– ∞, – 2) ∪ (1, ∞)", "D": "(– ∞, ∞) – {– 1, ± 2}" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/EQ-0327-102838.png", "position": "stem", "context": "37. f ( x ) = Lkku «Ëuþ {u¤ðku." } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-55", "source_number": "37", "original_raw_text": " f (x) = Lkku «Ëuþ {u¤ðku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 109, "question_text": "
\trðÄuÞ \"\" Lkku «Ëuþ _________ Au.
", "answer_text": "
log ≥ 0 yLku
\n
\"\" > 0
\n
\\ \"\" ≥ 1 > 0
\n
\\ 5x – x2 ≥ 6
\n
\\ x2 – 5x + 6 ≤ 0
\n
\\ (x – 3)(x – 2) ≤ 0
\n
\"\"
\n
–3
\n
+ 6
\n
– 2
\n
\\ x ∈ [2, 3]
\n
\\ «Ëuþ : [2, 3]
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(2, 3)", "B": "[2, 3]", "C": "[1, 2]", "D": "[1, 3]" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-001.png", "position": "stem", "context": "38. rðÄuÞ Lkku «Ëuþ _________ Au." }, { "id": "img-0", "path": "Chapter2/EQ-0326-113055.png", "position": "answer", "context": "> 0" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-003.png", "position": "answer", "context": "\\ ≥ 1 > 0" }, { "id": "img-2", "path": "Chapter2/133.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "38", "original_raw_text": "\trðÄuÞ Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 110, "question_text": "
\trðÄuÞ \"\" – \"\"Lkku «Ëuþ {u¤ðku.
", "answer_text": "
ynª,\t2 – x ≥ 0\t\t9 – x2 > 0
\n
\\\t2 ≥ x \\ 9 > x2
\n
\\ x ≤ 2\t\\ x2 < 9
\n
\\ \"\" < \"\"
\n
\\ |x| < 3
\n
\\ – 3 < x < 3
\n
\"\"
\n
\\ x ∈ (– 3, 2]
\n
\\ «Ëuþ : (– 3, 2]
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(– 3, 1)", "B": "[– 3, 1]", "C": "(– 3, 2]", "D": "[– 3, 1)" }, "correct_option": "C", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-004.png", "position": "stem", "context": "39. rðÄuÞ – Lkku «Ëuþ {u¤ðku." }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-005.png", "position": "stem", "context": "39. rðÄuÞ – Lkku «Ëuþ {u¤ðku." }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-006.png", "position": "answer", "context": "\\ <" }, { "id": "img-1", "path": "Chapter2/EQ-0407-142126.png", "position": "answer", "context": "\\ <" }, { "id": "img-2", "path": "Chapter2/137.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-55", "source_number": "39", "original_raw_text": "\trðÄuÞ – Lkku «Ëuþ {u¤ðku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 111, "question_text": "
p(x) = \"\"Lkku «Ëuþ ________ Au.
", "answer_text": "
p(x) = \"\" íÞkhu s
\n
\tÔÞkÏÞkrÞík ÚkkÞ,
\n
\tßÞkhu\t\t2x – x2 ≥ 0
\n
\\\tx2 – 2x ≤ 0
\n
\\\tx(x – 2) ≤ 0
\n
\"\"
\n
\\\tx ∈ [0, 2] ÚkkÞ.
\n
\\ «Ëuþ : [0, 2]
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(0, 2)", "B": "[0, 3]", "C": "[0, 2]", "D": "R – [0, 2]" }, "correct_option": "C", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1117-194042.png", "position": "stem", "context": "40. p ( x ) = Lkku «Ëuþ ________ Au." }, { "id": "img-0", "path": "Chapter2/EQ-1118-160254.png", "position": "answer", "context": "40. p ( x ) = íÞkhu s" }, { "id": "img-1", "path": "Chapter2/138.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "40", "original_raw_text": " p(x) = Lkku «Ëuþ ________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 112, "question_text": "
\trðÄuÞ \"\"Lkku «Ëuþ {u¤ðku.
", "answer_text": "
ynª, 1 + x ≥ 0\t,\t1 – x ≥ 0
\n
\\ x ≥ – 1\t,\t\\ 1 ≥ x
\n
\\ x ≤ 1
\n
Ãkhtíkw, x ≠ 0
\n
\\ x ∈ [– 1, 1] – {0}
\n
su ykÃku÷ rðÄuÞLkku «Ëuþ Au.
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(– 1, 1)", "B": "(– 1, 1) – {0}", "C": "[– 1, 1]", "D": "[– 1, 1] – {0}" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-007.png", "position": "stem", "context": "41. rðÄuÞ Lkku «Ëuþ {u¤ðku." } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "41", "original_raw_text": "\trðÄuÞ Lkku «Ëuþ {u¤ðku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 113, "question_text": "
\trðÄuÞ f (x) = \"\" + \"\" + \"\"Lkku «Ëuþ {u¤ðku.
", "answer_text": "
(i)\tx – x2 ≥ 0
\n
\\ x(1 – x) ≥ 0
\n
\"\"
\n
\\ x ∈ [0, 1]
\n
\t(ii)\t4 + x ≥ 0
\n
\\ x ≥ – 4
\n
\\ x ∈ [– 4, ∞)
\n
\t(iii)\t4 – x ≥ 0
\n
\\ 4 ≥ x
\n
\\ x ≤ 4
\n
\\ x ∈ (– ∞, 4]
\n
ykÃku÷ ºkýuÞ «ËuþLkku AuËøký ÷uíkkt,
\n
\\ «Ëuþ\t= [– 4, ∞) ∩ [0, 1]
\n
∩ (– ∞, 4]
\n
\t\t= [0, 1]
", "type": "MCQ", "type_uncertain": false, "options": { "A": "[– 4, ∞)", "B": "[– 4, 4]", "C": "[0, 4]", "D": "[0, 1]" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-008.png", "position": "stem", "context": "42. rðÄuÞ f ( x ) = + + Lkku «Ëuþ {u¤ðku." }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-009.png", "position": "stem", "context": "42. rðÄuÞ f ( x ) = + + Lkku «Ëuþ {u¤ðku." }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-010.png", "position": "stem", "context": "42. rðÄuÞ f ( x ) = + + Lkku «Ëuþ {u¤ðku." }, { "id": "img-0", "path": "Chapter2/139.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "42", "original_raw_text": "\trðÄuÞ f (x) = + + Lkku «Ëuþ {u¤ðku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 114, "question_text": "
\trðÄuÞ f (x) = \"\" Lkku «Ëuþ çkLke þfu íkuðe ðkMíkrðf MktÏÞkykuLkku MkkiÚke {kuxku øký _________ Au.
", "answer_text": "
ynª, \"\" ≥ 0
\n
\\ \"\" ≥ 0
\n
\"\"
\n
\\ x ∈ (– ∞, 0) ∪ [1, ∞)
\n
ykÚke, x ∈ (– ∞, 0) ∪ [1, ∞) ykÃku÷ yMk{íkkLkwt Mk{kÄkLk fhu Au.
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(0, 1) ∪ (0, ∞)", "B": "(– 1, 0) ∪ (1, ∞)", "C": "(– ∞, – 1) ∪ (0, ∞)", "D": "(– ∞, 0) ∪ [1, ∞)" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-011.png", "position": "stem", "context": "43. rðÄuÞ f ( x ) = Lkku «Ëuþ çkLke þfu íkuðe ðkMíkrðf MktÏÞ…" }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-012.png", "position": "answer", "context": "43. ynª, ≥ 0" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-013.png", "position": "answer", "context": "\\ ≥ 0" }, { "id": "img-2", "path": "Chapter2/141.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "43", "original_raw_text": "\trðÄuÞ f (x) = Lkku «Ëuþ çkLke þfu íkuðe ðkMíkrðf MktÏÞkykuLkku MkkiÚke {kuxku øký _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 115, "question_text": "
\trðÄuÞ f (x) = \"\" + \"\"Lkku «Ëuþ {u¤ðku.
", "answer_text": "
ynª, x2 – 1 ≥ 0\t\tx2 + 1 ≥ 0
\n
\\ x2 ≥ 1\t\t∀x ∈ R {kxu,
\n
\\ | x | ≥ 1\t\tx2 + 1 ≥ 0
\n
\\ x ∈ (– ∞, – 1] ∪ [1, ∞)
\n
\\ x ∈ (– ∞, ∞) – (– 1, 1)
\n
su ykÃku÷ rðÄuÞLkku «Ëuþ Au.
", "type": "MCQ", "type_uncertain": false, "options": { "A": "1 < x < ∞", "B": "– ∞ < x < ∞", "C": "– ∞ < x < – 1", "D": "(– ∞, ∞) – (– 1, 1)" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-014.png", "position": "stem", "context": "44. rðÄuÞ f ( x ) = + Lkku «Ëuþ {u¤ðku." }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-015.png", "position": "stem", "context": "44. rðÄuÞ f ( x ) = + Lkku «Ëuþ {u¤ðku." } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "44", "original_raw_text": "\trðÄuÞ f (x) = + Lkku «Ëuþ {u¤ðku.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 116, "question_text": "
\trðÄuÞ f (x) = \"\"Lkku «Ëuþ _________ Au.
", "answer_text": "
ynª, x2 – 1 > 0
\n
\\ x2 > 1
\n
\\ \"\" > 1
\n
\\ | x | > 1
\n
\\ x > 1, x < – 1
\n
\\ x ∈ (– ∞, – 1) ∪ (1, ∞)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(– ∞, – 1) ∪ (1, ∞)", "B": "(– ∞, – 1] ∪ (1, ∞)", "C": "(– ∞, – 1] ∪ [1, ∞)", "D": "yuf Ãký Lknª" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-016.png", "position": "stem", "context": "45. rðÄuÞ f ( x ) = Lkku «Ëuþ _________ Au." }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-006.png", "position": "answer", "context": "\\ > 1" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "45", "original_raw_text": "\trðÄuÞ f (x) = Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 117, "question_text": "
\trðÄuÞ \"\"Lkku «Ëuþ _________ Au.
", "answer_text": "
log (x2 – 6x + 6) ≥ 0
\n
\\ x2 – 6x + 6 ≥ 1
\n
\\ x2 – 6x + 5 ≥ 0
\n
\\ (x – 5)(x – 1) ≥ 0
\n
\"\"
\n
\\ «Ëuþ : (– ∞, 1] ∪ [5, ∞)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(– ∞, ∞)\t", "B": "(– ∞, 3 – \"\") ∪ (3 + \"\", ∞)", "C": "(– ∞, 1] ∪ [5, ∞)", "D": "[0, ∞)" }, "correct_option": "C", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-018.png", "position": "stem", "context": "46. rðÄuÞ Lkku «Ëuþ _________ Au." }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-019.png", "position": "option:B", "context": "(B) (– ∞ , 3 – ) ∪ (3 + , ∞ )" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-019.png", "position": "option:B", "context": "(B) (– ∞ , 3 – ) ∪ (3 + , ∞ )" }, { "id": "img-0", "path": "Chapter2/143.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "46", "original_raw_text": "\trðÄuÞ Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 118, "question_text": "
\trðÄuÞ f(x) = \"\"Lkku «Ëuþ _________ Au.
", "answer_text": "
ynª, MÃkü Au fu,
\n
– 1 ≤ \"\" ≤ 1
\n
Ãkhtíkw, 2 < ex < 3
\n
\\ 3 < ex + 1 < 4
\n
\\ \"\" < \"\" < \"\"
\n
\\ \"\" < f (x) < \"\"
\n
\\ f (x)Lkku «Ëuþ = \"\"
", "type": "MCQ", "type_uncertain": false, "options": { "A": "\"\"", "B": "[– 1, 0]", "C": "[0, 1]", "D": "[– 1, 1]" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-020.png", "position": "stem", "context": "47. rðÄuÞ f(x) = Lkku «Ëuþ _________ Au." }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-021.png", "position": "option:A", "context": "(A) (B) [– 1, 0]\t( C) [0, 1]\t(D) [– 1, 1]" }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-022.png", "position": "answer", "context": "– 1 ≤ ≤ 1" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-023.png", "position": "answer", "context": "\\ < <" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-024.png", "position": "answer", "context": "\\ < <" }, { "id": "img-3", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-025.png", "position": "answer", "context": "\\ < <" }, { "id": "img-4", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-023.png", "position": "answer", "context": "\\ < f ( x ) <" }, { "id": "img-5", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-025.png", "position": "answer", "context": "\\ < f ( x ) <" }, { "id": "img-6", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-021.png", "position": "answer", "context": "\\ f ( x ) Lkku «Ëuþ =" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "47", "original_raw_text": "\trðÄuÞ f(x) = Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 119, "question_text": "
\trðÄuÞ y = \"\"Lkku «Ëuþ _________ Au.
", "answer_text": "
ynª,\t| x | – x > 0
\n
\\\t| x | > x
\n
x > x\t– x > x
\n
su þõÞ LkÚke.\t\\ 0 > 2x
\n
\\ x < 0
\n
\\ x ∈ (– ∞, 0)
\n
\\ «Ëuþ = (– ∞, 0)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(– ∞, 0)", "B": "(– ∞, 0]", "C": "(– ∞, – 1)", "D": "(– ∞, ∞)" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-028.png", "position": "stem", "context": "48. rðÄuÞ y = Lkku «Ëuþ _________ Au." } ], "tables": [], "metadata": { "source_class": "Quest idfd78085b0-ParaOverride-10", "source_number": "48", "original_raw_text": "\trðÄuÞ y = Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 120, "question_text": "
\trðÄuÞ f (x) = \"\"Lkku «Ëuþ _________ Au.
", "answer_text": "
ynª, 5x – 3 – 2x2 ≥ 0
\n
\\ 2x2 – 5x + 3 ≤ 0
\n
\\ x2 – \"\"x + \"\" ≤ 0
\n
\\ \"\"(x – 1) ≤ 0
\n
\"\"
\n
\\ x ∈ \"\"
\n
\\ «Ëuþ : \"\"
", "type": "MCQ", "type_uncertain": false, "options": { "A": "\"\"", "B": "\"\"", "C": "(– ∞, 1]", "D": "\"\"" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-029.png", "position": "stem", "context": "49. rðÄuÞ f ( x ) = Lkku «Ëuþ _________ Au." }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-030.png", "position": "option:A", "context": "(A) (B) ( C) (– ∞ , 1]\t(D)" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-031.png", "position": "option:A", "context": "(A) (B) ( C) (– ∞ , 1]\t(D)" }, { "id": "img-3", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-032.png", "position": "option:A", "context": "(A) (B) ( C) (– ∞ , 1]\t(D)" }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-033.png", "position": "answer", "context": "\\ x 2 – x + ≤ 0" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-034.png", "position": "answer", "context": "\\ x 2 – x + ≤ 0" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-035.png", "position": "answer", "context": "\\ ( x – 1) ≤ 0" }, { "id": "img-3", "path": "Chapter2/145.png", "position": "answer", "context": "" }, { "id": "img-4", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-032.png", "position": "answer", "context": "\\ x ∈" }, { "id": "img-5", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-032.png", "position": "answer", "context": "\\ «Ëuþ :" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "49", "original_raw_text": "\trðÄuÞ f (x) = Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 121, "question_text": "
\trðÄuÞ f (x) = \"\",
\n
x ∈ RLkku rðMíkkh _________ Au.
", "answer_text": "
ynª, y = f (x) = \"\"
\n
\\ y(x2 + x + 1) = x2 + x + 2
\n
\\\t(y – 1)x2 + (y – 1)x
\n
+ (y – 2) = 0
\n
nðu, x ∈ R nkuðkÚke...
\n
\t\tD > 0
\n
\\\t(y – 1)2 – 4(y – 1)(y – 2) > 0
\n
\\\t(y – 1)[y – 1 – 4(y – 2)] > 0
\n
\\\t(y – 1)(y – 1 – 4y + 8) > 0
\n
\\\t(y – 1)(– 3y + 7) > 0
\n
\\\t– 3(y – 1) \"\" > 0
\n
\\\t(y – 1) \"\" > 0
\n
\"\"
\n
nðu, òu y = 1 nkuÞ, íkku
\n
\t\t1 = \"\"
\n
∴ x2 + x + 1 = x2 + x + 2
\n
∴\t1 = 2
\n
su þõÞ LkÚke.
\n
∴ y ≠ 1
\n
∴\t1 < y < \"\"
\n
\\ rðMíkkh = \"\"
", "type": "MCQ", "type_uncertain": false, "options": { "A": "[1, ∞)", "B": "\"\"", "C": "\"\"", "D": "\"\"" }, "correct_option": "C", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-038.png", "position": "stem", "context": "50. rðÄuÞ f ( x ) = ," }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-039.png", "position": "option:A", "context": "(A) [1, ∞ )\t(B) ( C) (D)" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-040.png", "position": "option:A", "context": "(A) [1, ∞ )\t(B) ( C) (D)" }, { "id": "img-3", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-041.png", "position": "option:A", "context": "(A) [1, ∞ )\t(B) ( C) (D)" }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-042.png", "position": "answer", "context": "50. ynª, y = f ( x ) =" }, { "id": "img-1", "path": "Chapter2/EQ-0326-114702.png", "position": "answer", "context": "\\ – 3( y – 1) > 0" }, { "id": "img-2", "path": "Chapter2/EQ-0326-114702.png", "position": "answer", "context": "\\ ( y – 1) > 0" }, { "id": "img-3", "path": "Chapter2/146.png", "position": "answer", "context": "" }, { "id": "img-4", "path": "Chapter2/EQ-0326-115124.png", "position": "answer", "context": "1 =" }, { "id": "img-5", "path": "Chapter2/EQ-0326-115241.png", "position": "answer", "context": "∴ 1 < y <" }, { "id": "img-6", "path": "Chapter2/EQ-0326-115322.png", "position": "answer", "context": "\\ rðMíkkh =" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "50", "original_raw_text": "\trðÄuÞ f (x) = , \n x ∈ RLkku rðMíkkh _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 122, "question_text": "
\tòu rðÄuÞ f : R → R, f (x) = \"\"Lkku rðMíkkh _________ Au.
", "answer_text": "
f (x) = \"\"
\n
\\ y = \"\"
\n
\\ yx2 + y = x2
\n
\\ y = x2 – x2y
\n
\\ y = x2(1 – y)
\n
\\ x2 = \"\"
\n
∀x ∈ R ⇒ x2 ≥ 0
\n
⇒ \"\" ≥ 0
\n
\"\"
\n
\\ y ∈ [0, 1)
\n
\\ rðMíkkh = [0, 1)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "R–", "B": "[0, 1)", "C": "R", "D": "R × R" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-044.png", "position": "stem", "context": "51. òu rðÄuÞ f : R → R, f ( x ) = Lkku rðMíkkh _________ Au." }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-041.png", "position": "answer", "context": "51. f ( x ) =" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0707-041.png", "position": "answer", "context": "\\ y =" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-047.png", "position": "answer", "context": "\\ x 2 =" }, { "id": "img-3", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-047.png", "position": "answer", "context": "⇒ ≥ 0" }, { "id": "img-4", "path": "Chapter2/147.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "51", "original_raw_text": "\tòu rðÄuÞ f : R → R, f (x) = Lkku rðMíkkh _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 123, "question_text": "
f (x) = Lkku rðMíkkh _________ Au.
", "answer_text": "
ynª, y = f (x) = \"\"
\n
\\ y(x2 + 2x – 7) = x2 + 34x – 71
\n
\\ x2(y – 1) + x(2y – 34)
\n
+ (–7y + 71) = 0
\n
nðu, x ∈ R {kxu,
\n
D > 0
\n
\\\t(2y – 34)2 – 4(y – 1)(71 – 7y) > 0
\n
\\\t4y2 – 2(2y)(34) + (34)2 –
\n
4(71y – 7y2 – 71 + 7y) > 0
\n
\\\t4y2 – 136y + 1156 – 312y
\n
+ 28y2 + 284 > 0
\n
\\ 32y2 – 448y + 1440 > 0
\n
\\ y2 – 14y + 45 > 0
\n
\\\t(y – 9)(y – 5) > 0
\n
\"\"
\n
òu y = 1 nkuÞ, íkku
\n
\t\t1\t= \"\"
\n
∴ x2 + 2x – 7\t= x2 + 34x – 71
\n
∴\t71 – 7\t= 32x
\n
∴\t64\t= 32x
\n
∴ x\t= 2
\n
su þõÞ Au.
\n
\\ x ∈ (– ∞, 5] ∪ [9, ∞)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "[5, 9]", "B": "(– ∞, 5] ∪ [9, ∞)", "C": "(5, 9)", "D": "yuf Ãký Lknª" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-050.png", "position": "answer", "context": "52. ynª, y = f ( x ) =" }, { "id": "img-1", "path": "Chapter2/148.png", "position": "answer", "context": "" }, { "id": "img-2", "path": "Chapter2/EQ-0326-120004.png", "position": "answer", "context": "1\t=" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "52", "original_raw_text": " f (x) = Lkku rðMíkkh _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 124, "question_text": "
\tòu x yu ðkMíkrðf nkuÞ, íkku Mk{efhý Lke ®f{ík _________Lke ðå[u nkuÞ.
", "answer_text": "
y = \"\"
\n
\\ x2y + 2xy + 3y = x2 + 14x + 9
\n
\\ x2(y – 1) + (2y – 14)x
\n
+ (3y – 9) = 0
\n
nðu, D ≥ 0 ( x ∈ R)
\n
\\\t(2y – 14)2 – 4(y – 1)(3y – 9) ≥ 0
\n
\\\t4(y – 7)2 – 4(y – 1)(3y – 9) ≥ 0
\n
\\\t4(y2 – 14y + 49 – 3y2 + 9y
\n
+ 3y – 9) ≥ 0
\n
\\\t–2y2 – 2y + 40 ≥ 0
\n
\\ y2 + y – 20 ≤ 0
\n
\\\t(y + 5)(y – 4) ≤ 0
\n
\"\"
\n
òu y = 1 nkuÞ, íkku
\n
\t\t1 = \"\"
\n
∴ x2 + 2x + 3 = x2 + 14x – 9
\n
∴\t– 6 = 12x
\n
∴ x = \"\"
\n
su þõÞ Au.
\n
\\ y ∈ [–5, 4]
\n
\\ rðMíkkh – 5 yLku 4Lke ðå[u Au.
", "type": "MCQ", "type_uncertain": false, "options": { "A": "5 yLku 4", "B": "5 yLku – 4", "C": "– 5 yLku 4", "D": "yuf Ãký Lknª" }, "correct_option": "C", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-052.png", "position": "answer", "context": "53. y =" }, { "id": "img-1", "path": "Chapter2/149.png", "position": "answer", "context": "" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-052.png", "position": "answer", "context": "1 =" }, { "id": "img-3", "path": "Chapter2/EQ-0326-120437.png", "position": "answer", "context": "∴ x =" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "53", "original_raw_text": "\tòu x yu ðkMíkrðf nkuÞ, íkku Mk{efhý Lke ®f{ík _________Lke ðå[u nkuÞ.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 125, "question_text": "
\trðÄuÞ f (x) = + \"\"Lkku «Ëuþ _________ Au.
", "answer_text": "
ynª,\t1 – x > 0\tx + 2 ≥ 0
\n
\\\t1 > x \\ x ≥ – 2
\n
\\ x < 1
\n
\"\"
\n
\\ [– 2, 0) ∪ (0, 1)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(– 3, – 2.5) ∪ (– 2.5, – 2)", "B": "[– 2, 0) ∪ (0, 1)", "C": "(0, 1)", "D": "yuf Ãký Lknª" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-054.png", "position": "stem", "context": "54. rðÄuÞ f ( x ) = + Lkku «Ëuþ _________ Au." }, { "id": "img-0", "path": "Chapter2/151.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "54", "original_raw_text": "\trðÄuÞ f (x) = + Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 126, "question_text": "
f (x) = log \"\"Lkku «Ëuþ _______ Au.
", "answer_text": "
ynª, \"\" + \"\" > 0
\n
\\ x – 4 ≥ 0\t\t6 – x ≥ 0
\n
\\ x ≥ 4\t\\ 6 ≥ x
\n
\\ x ≤ 6
\n
\"\"
\n
\\ «Ëuþ : [4, 6]
", "type": "MCQ", "type_uncertain": false, "options": { "A": "[4, ∞)", "B": "(– ∞, 6]", "C": "[4, 6]", "D": "[6, 4]" }, "correct_option": "C", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-055.png", "position": "stem", "context": "55. f ( x ) = log Lkku «Ëuþ _______ Au." }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-056.png", "position": "answer", "context": "55. ynª, + > 0" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-057.png", "position": "answer", "context": "55. ynª, + > 0" }, { "id": "img-2", "path": "Chapter2/153.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "55", "original_raw_text": " f (x) = log Lkku «Ëuþ _______ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 127, "question_text": "
\trðÄuÞ f (x) = log ((log10x)2 – 5 log10 x + 6)Lkku «Ëuþ _________ Au.
", "answer_text": "
(log10 x)2 – 5 log10 x + 6 > 0
\n
\\ (log10 x – 3)(log10 x – 2) > 0
\n
–3
\n
+ 6
\n
– 2
\n
\"\"
\n
log10 x < 2\tlog10 x > 3
\n
\\ x < 102 x > 103
\n
\\ x ∈ (0, 102) ∪ (103, ∞)
\n
\\ «Ëuþ = (0, 102) ∪ (103, ∞)
", "type": "MCQ", "type_uncertain": false, "options": { "A": "(0, 10)2", "B": "(103, ∞)", "C": "(102, 103)", "D": "(0, 102) ∪ (103, ∞)" }, "correct_option": "D", "images": [ { "id": "img-0", "path": "Chapter2/156.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "56", "original_raw_text": "\trðÄuÞ f (x) = log ((log10x)2 – 5 log10 x + 6)Lkku «Ëuþ _________ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 128, "question_text": "
\tòu f : [– 1, 1] → R+ ∪ {0} Ãkh ÔÞkÏÞkrÞík rðÄuÞ nkuÞ íkÚkk (0, 0) yLku (x, f(x)) rþhku®çkËwðk¤k Mk{çkksw rºkfkuýLkwt ûkuºkV¤ \"\" [kuhMk yuf{ nkuÞ,
íkku f(x) = ________.
", "answer_text": "
Äkhku fu, ∆ ABC {kxu
\n
A(0, 0) íkÚkk B(x, f(x)) ÷uíkkt,
\n
\"\"
\n
AB = \"\"
\n
\tAB = \"\"
\n
\tnðu, Mk{çkksw ∆ ABCLkwt ûkuºkV¤
\n
= \"\" (AB)2
\n
\\ \"\"\t= \"\"×\"\"
\n
\\\t1\t= x2 + (f(x))2
\n
\\ (f(x))2\t= 1 – x2
\n
\\ f(x) = \"\"
", "type": "MCQ", "type_uncertain": false, "options": { "A": "\"\"", "B": "\"\"", "C": "\"\"", "D": "– \"\"" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/EQ-1117-194746.png", "position": "stem", "context": "57. òu f : [– 1, 1] → R + ∪ {0} Ãkh ÔÞkÏÞkrÞík rðÄuÞ nkuÞ ík…" }, { "id": "img-1", "path": "Chapter2/EQ-1117-195016.png", "position": "option:A", "context": "(A) (B)" }, { "id": "img-2", "path": "Chapter2/EQ-1112-140030.png", "position": "option:A", "context": "(A) (B)" }, { "id": "img-3", "path": "Chapter2/EQ-1117-195046.png", "position": "option:C", "context": "( C) (D) –" }, { "id": "img-4", "path": "Chapter2/EQ-1112-140030.png", "position": "option:C", "context": "( C) (D) –" }, { "id": "img-0", "path": "Chapter2/158.png", "position": "answer", "context": "" }, { "id": "img-1", "path": "Chapter2/EQ-1118-161901.png", "position": "answer", "context": "AB =" }, { "id": "img-2", "path": "Chapter2/EQ-0327-102456.png", "position": "answer", "context": "AB =" }, { "id": "img-3", "path": "Chapter2/EQ-1118-162011.png", "position": "answer", "context": "= (AB) 2" }, { "id": "img-4", "path": "Chapter2/EQ-1118-162011.png", "position": "answer", "context": "\\ = ×" }, { "id": "img-5", "path": "Chapter2/EQ-1118-162011.png", "position": "answer", "context": "\\ = ×" }, { "id": "img-6", "path": "Chapter2/EQ-1118-162154.png", "position": "answer", "context": "\\ = ×" }, { "id": "img-7", "path": "Chapter2/EQ-1117-195016.png", "position": "answer", "context": "\\ f ( x ) =" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "57", "original_raw_text": "\tòu f : [– 1, 1] → R+ ∪ {0} Ãkh ÔÞkÏÞkrÞík rðÄuÞ nkuÞ íkÚkk (0, 0) yLku (x, f(x)) rþhku®çkËwðk¤k Mk{çkksw rºkfkuýLkwt ûkuºkV¤ [kuhMk yuf{ nkuÞ,íkku f(x) = ________.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 129, "question_text": "
f (x) = (tan x5)\"\" yu _________ rðÄuÞ Au.
", "answer_text": "
f (x)\t= \"\"
\n
\t\t\t\t= yÞwø{ × Þwø{
\n
\t\t\t= yÞwø{ rðÄuÞ
", "type": "MCQ", "type_uncertain": false, "options": { "A": "yÞwø{ rðÄuÞ ", "B": "Þwø{ rðÄuÞ", "C": "yÞwø{ fu Þwø{ Ãkife yuf Ãký Lknª", "D": "{kLkktf rðÄuÞ" }, "correct_option": "A", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-058.png", "position": "stem", "context": "58. f ( x ) = ( tan x 5 ) yu _________ rðÄuÞ Au." }, { "id": "img-0", "path": "Chapter2/159.png", "position": "answer", "context": "58. f ( x )\t=" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "58", "original_raw_text": " f (x) = (tan x5) yu _________ rðÄuÞ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 130, "question_text": "
f (x) = \"\" yu _________ rðÄuÞ Au.
", "answer_text": "
f (x) = \"\"
\n
f (– x)\t= \"\"
\n
\t\t= \"\"
\n
\t\t\t= –\"\"
\n
f (– x)\t= – f (x)
\n
\\ f yu yÞwø{ rðÄuÞ Au.
", "type": "MCQ", "type_uncertain": false, "options": { "A": "Þwø{ rðÄuÞ", "B": "yÞwø{ rðÄuÞ", "C": "yÞwø{ fu Þwø{ Ãkife yuf Ãký Lknª", "D": "{kLkktf rðÄuÞ" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-059.png", "position": "stem", "context": "59. f ( x ) = yu _________ rðÄuÞ Au." }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-060.png", "position": "answer", "context": "59. f ( x ) =" }, { "id": "img-1", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-061.png", "position": "answer", "context": "f (– x )\t=" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-062.png", "position": "answer", "context": "=" }, { "id": "img-3", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-0631.png", "position": "answer", "context": "= –" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "59", "original_raw_text": " f (x) = yu _________ rðÄuÞ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 131, "question_text": "
f (x) = x\"\" yu _________ rðÄuÞ Au.
", "answer_text": "
f (x) = x\"\"
\n
f (– x)\t= (– x)\"\"
\n
\t\t= x\"\"
\n
\t\t= f (x)
\n
\\ f (x) yu Þwø{ rðÄuÞ Au.
\n
⇒ n(A) = 2
\n
\tnðu (1, 1, 2) ∈ A3
\n
∴\t(1, 1, 2) ∈ (A × A × A)
\n
∴\t1 ∈ A, 1 ∈ A, 2 ∈ A
\n
∴\tA = {1, 2}
\n
\tyÞwø{ rðÄuÞ\t:\tòu rðÄuÞ f(–x) = –f(x) nkuÞ, íkku f yu yÞwø{ rðÄuÞ fnu Au.
\n
\tÞwø{ rðÄuÞ\t:\trðÄuÞ f(–x) = f(x) nkuÞ, íkku f yu Þwø{ rðÄuÞ fnu Au.
\n
(i)\tf(x) = log (x + \"\") yu ________ rðÄuÞ Au.
\n
(ii)\tf(x) = sin 2x yu ________ rðÄuÞ Au.
\n
(iii)\tf(x) = \"\" yu ________ rðÄuÞ Au.
\n
(iv) f(x) = x2 + 1 yu ________ rðÄuÞ Au.
\n
Mk{sqíke :
\n
(i)\t\t\tf(x)\t= log (x + \"\")
\n
f(–x)\t= log (–x + \"\")
\n
\t\t\t= log (–x + \"\")
\n
\t\t\t= log \"\"\"\" × \"\"
\n
\t\t\t= log \"\"
\n
\t\t\t= log \"\"
\n
\t\t\t= log
\n
\t\t\t= log (x + \"\")–1
\n
= –log (x + \"\")
\n
\t\t\t= –f(x)
\n
∴ f(x) = log (x + \"\") yu yÞwø{ rðÄuÞ Au.
\n
(ii)\t\t\tf(x)\t= sin 2x
\n
f(–x)\t= sin 2(–x)
\n
\t\t\t\t= –sin 2x
\n
= –f(x)
\n
∴ f(x) = sin 2x yu yÞwø{ rðÄuÞ Au.
\n
(iii)\t\t\tf(x)\t= \"\"
\n
f(–x)\t= \"\"
\n
\t\t\t= \"\"
\n
\t\t\t= f(x)
\n
∴ f(x) = \"\" yu Þwø{ rðÄuÞ Au.
\n
(iv)\t\t\tf(x)\t= x2 + 1
\n
f(–x)\t= (–x)2 + 1
\n
\t\t\t= x2 + 1
\n
\t\t\t= f(x)
\n
∴ f(x) = x2 + 1 yu Þwø{ rðÄuÞ Au.
\n
\tLke[u ykÃku÷ rðÄuÞLkku «Ëuþ {u¤ðku.
\n
(i)\tf(x) = \"\" + \"\"
\n
(ii)\tf(x) = \"\"
\n
(iii)\tf(x) = \"\"
\n
Mk{sqíke :
\n
(i)\t\tf(x) = \"\" + \"\"
\n
\t\t«Ëuþ {u¤ððk {kxu,
\n
x – 4 ≥ 0\t\t2 – x ≥ 0
\n
∴ x ≥ 4\t∴\t–x ≥ –2
\n
∴ x ∈ [4, ∞)\t∴ x ≤ 2
\n
∴ x ∈ (–∞, 2]
\n
∴\t«Ëuþ : x ∈ [2, 4]
\n
(ii)\t\tf(x) = \"\"
\n
«Ëuþ {u¤ððk {kxu,
\n
∴ 2 + x ≥ 0
\n
∴ x ≥ –2
\n
∴ x ∈ [–2, ∞]
\n
∴\t«Ëuþ : [–2, ∞]
\n
(iii)\t\tf(x) = \"\"
\n
«Ëuþ {u¤ððk {kxu,
\n
∴ x2 – 4 ≥ 0
\n
∴\t(x – 2) (x + 2) ≥ 0
\n
\"\"
\n
∴\t«Ëuþ : x ∈ (–∞, –2] ∪ [2, ∞]
\n
\tòu rðÄuÞLkku «Ëuþ R nkuÞ, íkku Lke[u ykÃku÷ rðÄuÞLkku rðMíkkh {u¤ðku.
\n
(i)\tf(x) = x2 + 6x + 10
\n
(ii)\tf(x) = 2 – 2x – x2
\n
(iii)\tf(x) = x2 – x – 6
\n
Mk{sqíke :
\n
(i)\t\t\tf(x)\t= x2 + 6x + 10
\n
\tytrík{ ÃkË\t= \"\"
\n
\t\t\t\t= \"\"
\n
\t\t\t\t= 9
\n
∴\t f(x)\t= x2 + 6x + 9 + 1
\n
\t\t\t\t= (x + 3)2 + 1
\n
x ∈ R\t⇒ (x + 3)2 ≥ 0
\n
⇒ (x + 3)2 + 1 ≥ 1
\n
⇒ f(x) ≥ 1
\n
⇒ f(x) ∈ [1, ∞)
\n
∴\trðMíkkh : [1, ∞]
\n
(ii)\t\t\t\tf(x)\t= 2 – 2x – x2
\n
ytrík{ ÃkË\t= \"\"
\n
\t\t\t\t= 1
\n
∴\t f(x)\t= 3 – 1 – 2x – x2
\n
= 3 – (x2 + 2x + 1)
\n
\t\t\t\t= 3 – (x + 1)2
\n
x ∈ R ⇒ (x + 1)2 ≥ 0
\n
⇒ – (x + 1)2 ≤ 0
\n
⇒ 3 – (x + 1)2 ≤ 3
\n
⇒ f(x) ≤ 3
\n
⇒ f(x) ∈ (–∞, 3]
\n
∴\trðMíkkh : (–∞, 3]
\n
(iii)\t\t\t\tf(x)\t= x2 – x – 6
\n
ytrík{ ÃkË = \"\"
\n
= \"\"
\n
∴ f(x)\t= x2 – x + \"\" – 6 – \"\"
\n
\t\t\t\t= \"\" – \"\"
\n
\tnðu, x ∈ R ⇒ \"\" ≥ 0
\n
⇒ \"\" – \"\" ≥ \"\"
\n
⇒ f(x) ≥ \"\"
\n
⇒ f(x) ∈ \"\"\"\", ∞\"\"
\n
∴\trðMíkkh : \"\"\"\", ∞\"\"
\n
\tLke[uLke ykf]rík{kt PÚke QLkku MktçktÄ ËþkoÔÞku Au.
\n
\"\"
\n
\tyk MktçktÄLku
\n
(i)\tøkwýÄ{oLke heíku ÷¾ku.
\n
(ii) ÞkËeLke heíku ÷¾ku.
\n
(iii)\t«Ëuþ yLku rðMíkkh þwt Úkþu ?
\n
Mk{sqíke :
\n
(i)\tR = {(x, y) : x – y = 2, x ∈ P, y ∈ Q}
\n
(ii)\tR = {(5, 3), (6, 4), (7, 5)}
\n
(iii)\t«Ëuþ = {5, 6, 7}
\n
\trðMíkkh = {3, 4, 5}
\n
\tòu A = {1, 2, 3, 4, 6}, R = {(a, b) : a, b ∈ A, b yu a ðzu rð¼kßÞ Au.} ÚkkÞ íku heíku MktçktÄ R yu A Ãkh ÔÞkÏÞkrÞík Au.
\n
(i)\tRLku ÞkËeLke heíku ÷¾ku.
\n
(ii) RLkku «Ëuþ {u¤ðku.
\n
(iii) RLkku rðMíkkh {u¤ðku.
\n
Mk{sqíke :
\n
(i)\tR = {(1, 1), (2, 2), (3, 3), (4, 4), (6, 6), (2, 4),
\n
(2, 6), (3, 6), (1, 3), (1, 4)}
\n
(ii)\tRLkku «Ëuþ = {1, 2, 3, 4, 6}
\n
(iii)\tRLkku rðMíkkh = {1, 2, 3, 4, 6}
\n
\"\"
", "type": "MCQ", "type_uncertain": false, "options": { "A": "yÞwø{ rðÄuÞ ", "B": "Þwø{ rðÄuÞ", "C": "yÞwø{ fu Þwø{ Ãkife yuf Ãký Lknª", "D": "{kLkktf rðÄuÞ" }, "correct_option": "B", "images": [ { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-064.png", "position": "stem", "context": "60. f ( x ) = x yu _________ rðÄuÞ Au." }, { "id": "img-0", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-0631.png", "position": "answer", "context": "60. f ( x ) = x" }, { "id": "img-1", "path": "Chapter2/EQ-0423-140609.png", "position": "answer", "context": "f (– x )\t= (– x )" }, { "id": "img-2", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-0631.png", "position": "answer", "context": "= x" }, { "id": "img-3", "path": "Chapter2/Chap_2_Std._11_Sci._GM_Maths_2025_Bhavesh-0415-064.png", "position": "answer", "context": "(i) f ( x ) = log ( x + ) yu ________ rðÄuÞ Au." }, { "id": "img-4", "path": "Chapter2/Chap_2_Std._11_Sci._GM_Maths_2025_Bhavesh-0415-063.png", "position": "answer", "context": "(iii) f ( x ) = yu ________ rðÄuÞ Au." }, { "id": "img-5", "path": "Chapter2/EQ-0403-110440.png", "position": "answer", "context": "(i) f ( x )\t= log ( x + )" }, { "id": "img-6", "path": "Chapter2/EQ-0403-110553.png", "position": "answer", "context": "f (– x )\t= log (– x + )" }, { "id": "img-7", "path": "Chapter2/EQ-0403-110440.png", "position": "answer", "context": "= log (– x + )" }, { "id": "img-8", "path": "Chapter2/EQ-0403-110726.png", "position": "answer", "context": "= log ×" }, { "id": "img-9", "path": "Chapter2/EQ-0403-110758.png", "position": "answer", "context": "= log ×" }, { "id": "img-10", "path": "Chapter2/EQ-0403-110938.png", "position": "answer", "context": "= log ×" }, { "id": "img-11", "path": "Chapter2/EQ-0403-111418.png", "position": "answer", "context": "= log" }, { "id": "img-12", "path": "Chapter2/EQ-0403-111501.png", "position": "answer", "context": "= log" }, { "id": "img-13", "path": "Chapter2/EQ-0403-110440.png", "position": "answer", "context": "= log ( x + ) –1" }, { "id": "img-14", "path": "Chapter2/EQ-0403-110440.png", "position": "answer", "context": "= –log ( x + )" }, { "id": "img-15", "path": "Chapter2/EQ-0403-110440.png", "position": "answer", "context": "∴ f ( x ) = log ( x + ) yu yÞwø{ rðÄuÞ Au." }, { "id": "img-16", "path": "Chapter2/EQ-0403-112952.png", "position": "answer", "context": "(iii) f ( x )\t=" }, { "id": "img-17", "path": "Chapter2/EQ-0403-113038.png", "position": "answer", "context": "f (– x )\t=" }, { "id": "img-18", "path": "Chapter2/EQ-0403-112952.png", "position": "answer", "context": "=" }, { "id": "img-19", "path": "Chapter2/EQ-0403-112952.png", "position": "answer", "context": "∴ f ( x ) = yu Þwø{ rðÄuÞ Au." }, { "id": "img-20", "path": "Chapter2/Chap_2_Std._11_Sci._GM_Maths_2025_Bhavesh-0415-067.png", "position": "answer", "context": "(i) f ( x ) = +" }, { "id": "img-21", "path": "Chapter2/Chap_2_Std._11_Sci._GM_Maths_2025_Bhavesh-0415-068.png", "position": "answer", "context": "(i) f ( x ) = +" }, { "id": "img-22", "path": "Chapter2/Chap_2_Std._11_Sci._GM_Maths_2025_Bhavesh-0415-066.png", "position": "answer", "context": "(ii) f ( x ) =" }, { "id": "img-23", "path": "Chapter2/Chap_2_Std._11_Sci._GM_Maths_2025_Bhavesh-0415-065.png", "position": "answer", "context": "(iii) f ( x ) =" }, { "id": "img-24", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-056.png", "position": "answer", "context": "(i) f ( x ) = +" }, { "id": "img-25", "path": "Chapter2/EQ-0403-113549.png", "position": "answer", "context": "(i) f ( x ) = +" }, { "id": "img-26", "path": "Chapter2/EQ-0403-115452.png", "position": "answer", "context": "(ii) f ( x ) =" }, { "id": "img-27", "path": "Chapter2/EQ-0403-115653.png", "position": "answer", "context": "(iii) f ( x ) =" }, { "id": "img-28", "path": "Chapter2/163.png", "position": "answer", "context": "" }, { "id": "img-29", "path": "Chapter2/165.png", "position": "answer", "context": "ytrík{ ÃkË =" }, { "id": "img-30", "path": "Chapter2/EQ-0403-120112.png", "position": "answer", "context": "=" }, { "id": "img-31", "path": "Chapter2/EQ-0403-120349.png", "position": "answer", "context": "ytrík{ ÃkË =" }, { "id": "img-32", "path": "Chapter2/EQ-0403-120740.png", "position": "answer", "context": "ytrík{ ÃkË =" }, { "id": "img-33", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-023.png", "position": "answer", "context": "=" }, { "id": "img-34", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-023.png", "position": "answer", "context": "∴ f ( x )\t= x 2 – x + – 6 –" }, { "id": "img-35", "path": "Chapter2/Std._11_Science_GM_Maths_Guide_2021_Chapter_2_Sahil-0706-023.png", "position": "answer", "context": "∴ f ( x )\t= x 2 – x + – 6 –" }, { "id": "img-36", "path": "Chapter2/EQ-0403-121414.png", "position": "answer", "context": "= –" }, { "id": "img-37", "path": "Chapter2/EQ-0403-121428.png", "position": "answer", "context": "= –" }, { "id": "img-38", "path": "Chapter2/EQ-0403-121414.png", "position": "answer", "context": "nðu, x ∈ R ⇒ ≥ 0" }, { "id": "img-39", "path": "Chapter2/EQ-0403-121414.png", "position": "answer", "context": "⇒ – ≥" }, { "id": "img-40", "path": "Chapter2/EQ-0403-121428.png", "position": "answer", "context": "⇒ – ≥" }, { "id": "img-41", "path": "Chapter2/EQ-0403-121538.png", "position": "answer", "context": "⇒ – ≥" }, { "id": "img-42", "path": "Chapter2/EQ-0403-121538.png", "position": "answer", "context": "⇒ f ( x ) ≥" }, { "id": "img-43", "path": "Chapter2/EQ-0403-122920.png", "position": "answer", "context": "⇒ f ( x ) ∈ , ∞" }, { "id": "img-44", "path": "Chapter2/EQ-0403-121538.png", "position": "answer", "context": "⇒ f ( x ) ∈ , ∞" }, { "id": "img-45", "path": "Chapter2/EQ-0403-122941.png", "position": "answer", "context": "⇒ f ( x ) ∈ , ∞" }, { "id": "img-46", "path": "Chapter2/EQ-0403-122920.png", "position": "answer", "context": "∴ rðMíkkh : , ∞" }, { "id": "img-47", "path": "Chapter2/EQ-0403-121538.png", "position": "answer", "context": "∴ rðMíkkh : , ∞" }, { "id": "img-48", "path": "Chapter2/EQ-0403-122941.png", "position": "answer", "context": "∴ rðMíkkh : , ∞" }, { "id": "img-49", "path": "Chapter2/167.png", "position": "answer", "context": "" }, { "id": "img-50", "path": "Chapter2/169.png", "position": "answer", "context": "" } ], "tables": [], "metadata": { "source_class": "Quest", "source_number": "60", "original_raw_text": " f (x) = x yu _________ rðÄuÞ Au.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "paired_answer_list", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } }, { "sequence_no": 132, "question_text": "
\tòu n(A3) = 8 yLku (1, 1, 2) ∈ A3 íkku A = ______.
", "answer_text": "", "type": "MCQ", "type_uncertain": false, "options": { "A": "{1, 2, 3}", "B": "{1, 2}", "C": "{1, 3}", "D": "{1, 8}" }, "correct_option": "B", "images": [], "tables": [], "metadata": { "source_class": "Quest", "source_number": "61", "original_raw_text": "\tòu n(A3) = 8 yLku (1, 1, 2) ∈ A3 íkku A = ______.", "marks": 1, "deduction_level": 0, "source_html": "Chapter2", "answer_source": "inline_key", "section": "Multiple Choice Questions (MCQs)", "section_id": "2.12" } } ] } ], "unassigned": [], "warnings": [ "[vector-figure] rendered 0 group(s) as single images, 7 FAILED (left as-is)", "Removed noise images: 49 section banners, 41 marks/year/topic badges, 2 note/clarification/puzzle callouts", "Dropped running headers/banners from content: 7 repeating header pattern(s)", "[figure] 3 figure(s) detected in the source but NOT assigned to any question: 170.png, 173.png, 86.png — a figure was dropped (question OR answer side); do not publish until every figure is 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{\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:6px;\n\tpadding-top:6px;\n}\ntd.CellOverride-5 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-left:0px;\n\tpadding-right:0px;\n}\ntd.CellOverride-6 {\n\tborder-bottom-color:#00aeef;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#00aeef;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#00aeef;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#00aeef;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-left:0px;\n\tpadding-right:0px;\n\tvertical-align:middle;\n}\ntd.CellOverride-7 {\n\tbackground-color:#ffffff;\n\tborder-bottom-color:#939598;\n\tborder-bottom-style:solid;\n\tborder-bottom-width:1px;\n\tborder-left-color:#939598;\n\tborder-left-style:solid;\n\tborder-left-width:1px;\n\tborder-right-color:#939598;\n\tborder-right-style:solid;\n\tborder-right-width:1px;\n\tborder-top-color:#939598;\n\tborder-top-style:solid;\n\tborder-top-width:1px;\n\tpadding-bottom:7px;\n\tpadding-left:9px;\n\tpadding-top:7px;\n\tvertical-align:middle;\n}\ntd.CellOverride-8 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{\n\tcolor:#000000;\n\tfont-style:italic;\n\tfont-weight:bold;\n}\nspan.idfd78085b0-CharOverride-94 {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idfd78085b0-CharOverride-95 {\n\tcolor:#000000;\n\ttext-decoration:underline;\n}\nspan.idfd78085b0-CharOverride-96 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\ttext-decoration:none;\n}\nspan.idfd78085b0-CharOverride-97 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\tfont-size:7px;\n\ttext-decoration:none;\n\tvertical-align:super;\n}\nspan.idfd78085b0-CharOverride-98 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\tfont-family:\"Times New Roman\", serif;\n\tfont-size:10px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-decoration:none;\n\ttext-transform:none;\n}\nspan.idfd78085b0-CharOverride-99 {\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleLightTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idfd78085b0-CharOverride-100 {\n\t-webkit-text-combine:none;\n\tcolor:#000000;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:12px;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-decoration:none;\n\ttext-transform:none;\n}\nspan.idfd78085b0-CharOverride-101 {\n\tcolor:#000000;\n\tfont-family:Symbol, sans-serif;\n\tfont-style:normal;\n\tfont-variant:normal;\n\tfont-weight:normal;\n\ttext-transform:none;\n}\nspan.idfd78085b0-CharOverride-102 {\n\tcolor:#ffffff;\n\tfont-size:12px;\n}\nspan.idfd78085b0-CharOverride-103 {\n\tfont-size:7px;\n\tfont-style:italic;\n\tfont-weight:bold;\n\tvertical-align:sub;\n}\nspan.idfd78085b0-CharOverride-104 {\n\tcolor:#ffffff;\n\tfont-family:\"B Bharati TitleTwo\", sans-serif;\n\tfont-size:14px;\n\tfont-style:normal;\n\tfont-weight:normal;\n}\nspan.idfd78085b0-CharOverride-105 {\n\tcolor:#ec008c;\n\tfont-style:italic;\n\tfont-weight:normal;\n}\ncol._idGenTableRowColumn-1 {\n\twidth:14px;\n}\ncol._idGenTableRowColumn-2 {\n\twidth:33px;\n}\ncol._idGenTableRowColumn-3 {\n\twidth:32px;\n}\ntr._idGenTableRowColumn-4 {\n\tmin-height:14px;\n}\ntr._idGenTableRowColumn-5 {\n\tmin-height:15px;\n}\ncol._idGenTableRowColumn-6 {\n\twidth:47px;\n}\ncol._idGenTableRowColumn-7 {\n\twidth:22px;\n}\ncol._idGenTableRowColumn-8 {\n\twidth:24px;\n}\ncol._idGenTableRowColumn-9 {\n\twidth:21px;\n}\ncol._idGenTableRowColumn-10 {\n\twidth:20px;\n}\ntr._idGenTableRowColumn-11 {\n\tmin-height:16px;\n}\ncol._idGenTableRowColumn-12 {\n\twidth:23px;\n}\ntr._idGenTableRowColumn-13 {\n\tmin-height:18px;\n}\ncol._idGenTableRowColumn-14 {\n\twidth:58px;\n}\ncol._idGenTableRowColumn-15 {\n\twidth:18px;\n}\ncol._idGenTableRowColumn-16 {\n\twidth:25px;\n}\ncol._idGenTableRowColumn-17 {\n\twidth:26px;\n}\ncol._idGenTableRowColumn-18 {\n\twidth:16px;\n}\ntr._idGenTableRowColumn-19 {\n\tmin-height:26px;\n}\ncol._idGenTableRowColumn-20 {\n\twidth:38px;\n}\ncol._idGenTableRowColumn-21 {\n\twidth:27px;\n}\ncol._idGenTableRowColumn-22 {\n\twidth:19px;\n}\ncol._idGenTableRowColumn-23 {\n\twidth:37px;\n}\ncol._idGenTableRowColumn-24 {\n\twidth:28px;\n}\ncol._idGenTableRowColumn-25 {\n\twidth:231px;\n}\ncol._idGenTableRowColumn-26 {\n\twidth:208px;\n}\ntr._idGenTableRowColumn-27 {\n\tmin-height:22px;\n}\ncol._idGenTableRowColumn-28 {\n\twidth:31px;\n}\ncol._idGenTableRowColumn-29 {\n\twidth:136px;\n}\ntr._idGenTableRowColumn-30 {\n\tmin-height:29px;\n}\ntr._idGenTableRowColumn-31 {\n\tmin-height:32px;\n}\n#_idContainer000 {\n\tdisplay:inline-block;\n\theight:148px;\n\tposition:relative;\n\twidth:624px;\n}\n#_idContainer001 {\n\tdisplay:inline-block;\n\theight:282px;\n\tposition:relative;\n\twidth:515px;\n}\n#_idContainer065 {\n\t-ms-transform:translate(0.000px,12.753px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,12.753px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:48.27px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,12.753px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,12.753px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:27.21px;\n\tz-index:0;\n}\n#_idContainer066 {\n\t-ms-transform:translate(9.460px,20.288px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(9.460px,20.288px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:33.20px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(9.460px,20.288px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(9.460px,20.288px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.29px;\n\tz-index:1;\n}\n#_idContainer067 {\n\t-ms-transform:translate(17.036px,23.388px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(17.036px,23.388px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.03px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(17.036px,23.388px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(17.036px,23.388px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:49.76px;\n\tz-index:5;\n}\n#_idContainer068 {\n\t-ms-transform:translate(17.035px,30.092px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(17.035px,30.092px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.13px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(17.035px,30.092px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(17.035px,30.092px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:49.79px;\n\tz-index:6;\n}\n#_idContainer069 {\n\t-ms-transform:translate(17.035px,43.499px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(17.035px,43.499px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.13px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(17.035px,43.499px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(17.035px,43.499px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:49.79px;\n\tz-index:9;\n}\n#_idContainer070 {\n\t-ms-transform:translate(18.279px,7.389px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(18.279px,7.389px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(18.279px,7.389px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(18.279px,7.389px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:46.67px;\n\tz-index:7;\n}\n#_idContainer071 {\n\t-ms-transform:translate(39.584px,5.991px) rotate(79.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(39.584px,5.991px) rotate(79.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:3.16px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(39.584px,5.991px) rotate(79.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(39.584px,5.991px) rotate(79.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:3.19px;\n\tz-index:4;\n}\n#_idContainer072 {\n\t-ms-transform:translate(42.051px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(42.051px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:5.96px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(42.051px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(42.051px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.75px;\n\tz-index:8;\n}\n#_idContainer073 {\n\t-ms-transform:translate(55.553px,12.753px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(55.553px,12.753px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:48.27px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(55.553px,12.753px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(55.553px,12.753px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:27.21px;\n\tz-index:2;\n}\n#_idContainer074 {\n\t-ms-transform:translate(65.013px,26.393px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(65.013px,26.393px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:20.99px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(65.013px,26.393px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(65.013px,26.393px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.29px;\n\tz-index:3;\n}\n#_idContainer075 {\n\theight:61px;\n\tposition:relative;\n\twidth:83px;\n}\n#_idContainer076 {\n\t-ms-transform:translate(0.000px,13.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,13.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:56.13px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,13.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,13.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:31.64px;\n\tz-index:0;\n}\n#_idContainer077 {\n\t-ms-transform:translate(11.000px,22.651px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(11.000px,22.651px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:38.60px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(11.000px,22.651px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(11.000px,22.651px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.64px;\n\tz-index:1;\n}\n#_idContainer078 {\n\t-ms-transform:translate(19.809px,26.256px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(19.809px,26.256px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:30.89px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(19.809px,26.256px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(19.809px,26.256px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:57.86px;\n\tz-index:4;\n}\n#_idContainer079 {\n\t-ms-transform:translate(20.267px,26.183px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(20.267px,26.183px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(20.267px,26.183px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(20.267px,26.183px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:57.69px;\n\tz-index:9;\n}\n#_idContainer080 {\n\t-ms-transform:translate(20.267px,41.135px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(20.267px,41.135px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(20.267px,41.135px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(20.267px,41.135px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:57.69px;\n\tz-index:8;\n}\n#_idContainer081 {\n\t-ms-transform:translate(20.267px,56.726px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(20.267px,56.726px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(20.267px,56.726px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(20.267px,56.726px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:57.57px;\n\tz-index:10;\n}\n#_idContainer082 {\n\t-ms-transform:translate(21.255px,7.653px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(21.255px,7.653px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:8.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(21.255px,7.653px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(21.255px,7.653px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:54.27px;\n\tz-index:5;\n}\n#_idContainer083 {\n\t-ms-transform:translate(46.028px,6.027px) rotate(79.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(46.028px,6.027px) rotate(79.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:3.68px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(46.028px,6.027px) rotate(79.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(46.028px,6.027px) rotate(79.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:3.71px;\n\tz-index:3;\n}\n#_idContainer084 {\n\t-ms-transform:translate(48.897px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(48.897px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(48.897px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(48.897px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.17px;\n\tz-index:6;\n}\n#_idContainer085 {\n\t-ms-transform:translate(64.596px,13.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(64.596px,13.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:56.13px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(64.596px,13.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(64.596px,13.889px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:31.64px;\n\tz-index:2;\n}\n#_idContainer086 {\n\t-ms-transform:translate(75.597px,22.651px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(75.597px,22.651px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:38.60px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(75.597px,22.651px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(75.597px,22.651px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.64px;\n\tz-index:7;\n}\n#_idContainer087 {\n\theight:70px;\n\tposition:relative;\n\twidth:96px;\n}\n#_idContainer135, #_idContainer487 {\n\tdisplay:inline-block;\n\theight:41px;\n\twidth:1px;\n}\n#_idContainer155 {\n\tdisplay:inline-block;\n\theight:24px;\n\twidth:1px;\n}\n#_idContainer175 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:146.19px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:146.90px;\n\tz-index:0;\n}\n#_idContainer176 {\n\t-ms-transform:translate(13.341px,6.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(13.341px,6.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:134.17px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(13.341px,6.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(13.341px,6.009px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:120.22px;\n\tz-index:1;\n}\n#_idContainer177 {\n\t-ms-transform:translate(189.637px,85.065px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(189.637px,85.065px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:42.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(189.637px,85.065px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(189.637px,85.065px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:37.30px;\n\tz-index:2;\n}\n#_idContainer178 {\n\t-ms-transform:translate(0.000px,10.488px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,10.488px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:146.19px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,10.488px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,10.488px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:189.64px;\n\tz-index:0;\n}\n#_idContainer179 {\n\t-ms-transform:translate(189.215px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(189.215px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:170.97px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(189.215px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(189.215px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:275.28px;\n\tz-index:1;\n}\n#_idContainer180 {\n\tdisplay:inline-block;\n\theight:172px;\n\tposition:relative;\n\twidth:466px;\n}\n#_idContainer182 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.95px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:300.39px;\n\tz-index:0;\n}\n#_idContainer183 {\n\t-ms-transform:translate(0.281px,5.445px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.281px,5.445px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.281px,5.445px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.281px,5.445px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:113;\n}\n#_idContainer184 {\n\t-ms-transform:translate(0.281px,10.520px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.281px,10.520px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.281px,10.520px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.281px,10.520px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:112;\n}\n#_idContainer185 {\n\t-ms-transform:translate(0.281px,15.595px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.281px,15.595px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.281px,15.595px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.281px,15.595px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:111;\n}\n#_idContainer186 {\n\t-ms-transform:translate(0.281px,20.670px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.281px,20.670px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.281px,20.670px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.281px,20.670px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:110;\n}\n#_idContainer187 {\n\t-ms-transform:translate(0.281px,25.902px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.281px,25.902px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:299.86px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.281px,25.902px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.281px,25.902px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:109;\n}\n#_idContainer188 {\n\t-ms-transform:translate(0.174px,30.855px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,30.855px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,30.855px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,30.855px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:98;\n}\n#_idContainer189 {\n\t-ms-transform:translate(5.177px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(5.177px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(5.177px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(5.177px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:1;\n}\n#_idContainer190 {\n\t-ms-transform:translate(0.174px,35.930px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,35.930px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,35.930px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,35.930px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:97;\n}\n#_idContainer191 {\n\t-ms-transform:translate(0.174px,41.005px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,41.005px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,41.005px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,41.005px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:96;\n}\n#_idContainer192 {\n\t-ms-transform:translate(0.174px,46.080px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,46.080px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,46.080px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,46.080px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:95;\n}\n#_idContainer193 {\n\t-ms-transform:translate(0.174px,51.311px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,51.311px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:299.86px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,51.311px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,51.311px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:94;\n}\n#_idContainer194 {\n\t-ms-transform:translate(0.174px,56.230px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,56.230px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,56.230px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,56.230px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:93;\n}\n#_idContainer195 {\n\t-ms-transform:translate(0.174px,61.305px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,61.305px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,61.305px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,61.305px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:92;\n}\n#_idContainer196 {\n\t-ms-transform:translate(0.174px,66.381px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,66.381px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,66.381px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,66.381px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:91;\n}\n#_idContainer197 {\n\t-ms-transform:translate(10.210px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.210px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.210px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.210px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:2;\n}\n#_idContainer198 {\n\t-ms-transform:translate(0.174px,71.456px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,71.456px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,71.456px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,71.456px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:90;\n}\n#_idContainer199 {\n\t-ms-transform:translate(0.174px,76.685px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,76.685px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.30px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,76.685px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,76.685px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:89;\n}\n#_idContainer200 {\n\t-ms-transform:translate(0.174px,81.606px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,81.606px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,81.606px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,81.606px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:88;\n}\n#_idContainer201 {\n\t-ms-transform:translate(0.174px,86.681px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,86.681px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,86.681px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,86.681px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:87;\n}\n#_idContainer202 {\n\t-ms-transform:translate(0.174px,91.756px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,91.756px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,91.756px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,91.756px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:86;\n}\n#_idContainer203 {\n\t-ms-transform:translate(0.174px,96.831px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,96.831px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,96.831px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,96.831px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:85;\n}\n#_idContainer204 {\n\t-ms-transform:translate(15.243px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(15.243px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(15.243px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(15.243px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:3;\n}\n#_idContainer205 {\n\t-ms-transform:translate(0.174px,102.060px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,102.060px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.30px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,102.060px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,102.060px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:84;\n}\n#_idContainer206 {\n\t-ms-transform:translate(0.174px,106.982px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,106.982px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,106.982px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,106.982px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:83;\n}\n#_idContainer207 {\n\t-ms-transform:translate(0.174px,112.057px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,112.057px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,112.057px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,112.057px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:82;\n}\n#_idContainer208 {\n\t-ms-transform:translate(0.174px,117.132px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,117.132px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,117.132px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,117.132px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:81;\n}\n#_idContainer209 {\n\t-ms-transform:translate(0.174px,122.207px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,122.207px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,122.207px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,122.207px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:80;\n}\n#_idContainer210 {\n\t-ms-transform:translate(0.174px,127.435px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,127.435px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:299.97px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,127.435px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,127.435px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:79;\n}\n#_idContainer211 {\n\t-ms-transform:translate(0.174px,132.357px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,132.357px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,132.357px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,132.357px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:78;\n}\n#_idContainer212 {\n\t-ms-transform:translate(20.275px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(20.275px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(20.275px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(20.275px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:4;\n}\n#_idContainer213 {\n\t-ms-transform:translate(0.174px,137.433px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,137.433px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,137.433px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,137.433px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:77;\n}\n#_idContainer214 {\n\t-ms-transform:translate(0.174px,142.508px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,142.508px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,142.508px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,142.508px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:76;\n}\n#_idContainer215 {\n\t-ms-transform:translate(0.174px,147.583px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,147.583px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,147.583px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,147.583px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:75;\n}\n#_idContainer216 {\n\t-ms-transform:translate(0.174px,152.809px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,152.809px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:299.97px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,152.809px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,152.809px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:74;\n}\n#_idContainer217 {\n\t-ms-transform:translate(0.174px,157.733px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,157.733px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,157.733px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,157.733px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:73;\n}\n#_idContainer218 {\n\t-ms-transform:translate(0.174px,162.808px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,162.808px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,162.808px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,162.808px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:72;\n}\n#_idContainer219 {\n\t-ms-transform:translate(25.162px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(25.162px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(25.162px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(25.162px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:5;\n}\n#_idContainer220 {\n\t-ms-transform:translate(0.174px,167.884px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,167.884px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,167.884px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,167.884px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:71;\n}\n#_idContainer221 {\n\t-ms-transform:translate(0.174px,172.959px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,172.959px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,172.959px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,172.959px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:70;\n}\n#_idContainer222 {\n\t-ms-transform:translate(0.174px,178.184px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,178.184px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:299.97px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,178.184px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,178.184px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:69;\n}\n#_idContainer223 {\n\t-ms-transform:translate(0.174px,183.109px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,183.109px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,183.109px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,183.109px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:68;\n}\n#_idContainer224 {\n\t-ms-transform:translate(0.174px,188.184px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,188.184px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,188.184px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,188.184px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:67;\n}\n#_idContainer225 {\n\t-ms-transform:translate(0.174px,193.259px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,193.259px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,193.259px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,193.259px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:66;\n}\n#_idContainer226 {\n\t-ms-transform:translate(0.174px,198.334px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,198.334px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.58px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,198.334px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,198.334px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 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0%;\n\twidth:0.00px;\n\tz-index:60;\n}\n#_idContainer233 {\n\t-ms-transform:translate(0.174px,228.872px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,228.872px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.13px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,228.872px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,228.872px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:103;\n}\n#_idContainer234 {\n\t-ms-transform:translate(0.174px,233.799px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,233.799px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,233.799px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,233.799px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:102;\n}\n#_idContainer235 {\n\t-ms-transform:translate(35.373px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(35.373px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(35.373px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(35.373px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:7;\n}\n#_idContainer236 {\n\t-ms-transform:translate(0.174px,238.874px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,238.874px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,238.874px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,238.874px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:101;\n}\n#_idContainer237 {\n\t-ms-transform:translate(0.174px,243.949px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,243.949px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 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0%;\n\twidth:0.00px;\n\tz-index:99;\n}\n#_idContainer239 {\n\t-ms-transform:translate(0.174px,254.180px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,254.180px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.13px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,254.180px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,254.180px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:108;\n}\n#_idContainer240 {\n\t-ms-transform:translate(0.174px,259.107px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,259.107px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,259.107px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,259.107px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:107;\n}\n#_idContainer241 {\n\t-ms-transform:translate(0.174px,264.183px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,264.183px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,264.183px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,264.183px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:106;\n}\n#_idContainer242 {\n\t-ms-transform:translate(40.406px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(40.406px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(40.406px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(40.406px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:8;\n}\n#_idContainer243 {\n\t-ms-transform:translate(0.174px,269.258px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,269.258px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,269.258px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,269.258px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:105;\n}\n#_idContainer244 {\n\t-ms-transform:translate(0.174px,274.333px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.174px,274.333px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:300.74px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.174px,274.333px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.174px,274.333px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:104;\n}\n#_idContainer245 {\n\t-ms-transform:translate(45.439px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(45.439px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(45.439px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(45.439px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:9;\n}\n#_idContainer246 {\n\t-ms-transform:translate(50.324px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(50.324px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(50.324px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(50.324px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:10;\n}\n#_idContainer247 {\n\t-ms-transform:translate(55.504px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(55.504px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(55.504px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(55.504px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:11;\n}\n#_idContainer248 {\n\t-ms-transform:translate(60.537px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(60.537px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(60.537px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(60.537px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:12;\n}\n#_idContainer249 {\n\t-ms-transform:translate(65.569px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(65.569px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(65.569px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(65.569px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:13;\n}\n#_idContainer250 {\n\t-ms-transform:translate(70.602px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(70.602px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(70.602px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(70.602px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:14;\n}\n#_idContainer251 {\n\t-ms-transform:translate(75.486px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(75.486px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(75.486px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(75.486px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:15;\n}\n#_idContainer252 {\n\t-ms-transform:translate(80.667px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(80.667px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(80.667px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(80.667px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:16;\n}\n#_idContainer253 {\n\t-ms-transform:translate(85.700px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(85.700px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(85.700px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(85.700px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:17;\n}\n#_idContainer254 {\n\t-ms-transform:translate(90.733px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(90.733px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(90.733px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(90.733px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:18;\n}\n#_idContainer255 {\n\t-ms-transform:translate(95.765px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(95.765px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(95.765px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(95.765px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:19;\n}\n#_idContainer256 {\n\t-ms-transform:translate(100.648px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(100.648px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(100.648px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(100.648px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:20;\n}\n#_idContainer257 {\n\t-ms-transform:translate(105.831px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(105.831px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(105.831px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(105.831px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:21;\n}\n#_idContainer258 {\n\t-ms-transform:translate(110.863px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(110.863px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(110.863px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(110.863px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:22;\n}\n#_idContainer259 {\n\t-ms-transform:translate(115.896px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(115.896px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(115.896px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(115.896px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:23;\n}\n#_idContainer260 {\n\t-ms-transform:translate(120.929px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(120.929px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(120.929px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(120.929px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:24;\n}\n#_idContainer261 {\n\t-ms-transform:translate(125.811px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(125.811px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(125.811px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(125.811px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:25;\n}\n#_idContainer262 {\n\t-ms-transform:translate(130.994px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(130.994px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(130.994px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(130.994px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:26;\n}\n#_idContainer263 {\n\t-ms-transform:translate(136.027px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(136.027px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(136.027px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(136.027px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:27;\n}\n#_idContainer264 {\n\t-ms-transform:translate(141.059px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(141.059px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(141.059px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(141.059px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:28;\n}\n#_idContainer265 {\n\t-ms-transform:translate(146.092px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(146.092px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(146.092px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(146.092px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:29;\n}\n#_idContainer266 {\n\t-ms-transform:translate(150.973px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(150.973px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(150.973px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(150.973px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:30;\n}\n#_idContainer267 {\n\t-ms-transform:translate(156.157px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(156.157px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(156.157px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(156.157px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:31;\n}\n#_idContainer268 {\n\t-ms-transform:translate(161.190px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(161.190px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(161.190px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(161.190px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:32;\n}\n#_idContainer269 {\n\t-ms-transform:translate(166.223px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(166.223px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(166.223px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(166.223px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:33;\n}\n#_idContainer270 {\n\t-ms-transform:translate(171.255px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(171.255px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(171.255px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(171.255px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:34;\n}\n#_idContainer271 {\n\t-ms-transform:translate(176.135px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(176.135px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(176.135px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(176.135px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:35;\n}\n#_idContainer272 {\n\t-ms-transform:translate(181.321px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(181.321px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 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0%;\n\twidth:0.00px;\n\tz-index:114;\n}\n#_idContainer274 {\n\t-ms-transform:translate(186.353px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(186.353px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(186.353px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(186.353px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:37;\n}\n#_idContainer275 {\n\t-ms-transform:translate(191.386px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(191.386px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 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{\n\t-ms-transform:translate(261.878px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(261.878px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(261.878px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(261.878px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:55;\n}\n#_idContainer290 {\n\t-ms-transform:translate(266.911px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(266.911px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 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{\n\t-ms-transform:translate(276.352px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(276.352px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:277.90px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(276.352px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(276.352px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:50;\n}\n#_idContainer293 {\n\t-ms-transform:translate(281.581px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(281.581px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 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{\n\t-ms-transform:translate(291.646px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(291.646px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:278.50px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(291.646px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(291.646px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:56;\n}\n#_idContainer296 {\n\t-ms-transform:translate(296.679px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(296.679px,0.265px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 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{\n\t-ms-transform:translate(0.000px,82.225px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,82.225px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:137.39px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,82.225px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,82.225px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.03px;\n\tz-index:0;\n}\n#_idContainer299 {\n\t-ms-transform:translate(23.658px,59.034px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(23.658px,59.034px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:90.26px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(23.658px,59.034px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(23.658px,59.034px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.03px;\n\tz-index:1;\n}\n#_idContainer300 {\n\t-ms-transform:translate(16.989px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(16.989px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(16.989px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(16.989px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.22px;\n\tz-index:10;\n}\n#_idContainer301 {\n\t-ms-transform:translate(63.241px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(63.241px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(63.241px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(63.241px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.22px;\n\tz-index:8;\n}\n#_idContainer302 {\n\t-ms-transform:translate(65.315px,8.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(65.315px,8.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:136.86px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(65.315px,8.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(65.315px,8.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.23px;\n\tz-index:14;\n}\n#_idContainer303 {\n\t-ms-transform:translate(39.047px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(39.047px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(39.047px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(39.047px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.22px;\n\tz-index:11;\n}\n#_idContainer304 {\n\t-ms-transform:translate(74.194px,28.553px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(74.194px,28.553px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(74.194px,28.553px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(74.194px,28.553px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.12px;\n\tz-index:4;\n}\n#_idContainer305 {\n\t-ms-transform:translate(60.654px,79.914px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(60.654px,79.914px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.65px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(60.654px,79.914px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(60.654px,79.914px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.93px;\n\tz-index:9;\n}\n#_idContainer306 {\n\t-ms-transform:translate(74.194px,51.215px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(74.194px,51.215px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(74.194px,51.215px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(74.194px,51.215px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.12px;\n\tz-index:3;\n}\n#_idContainer307 {\n\t-ms-transform:translate(74.723px,97.369px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(74.723px,97.369px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(74.723px,97.369px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(74.723px,97.369px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.22px;\n\tz-index:12;\n}\n#_idContainer308 {\n\t-ms-transform:translate(88.262px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(88.262px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(88.262px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(88.262px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.12px;\n\tz-index:5;\n}\n#_idContainer309 {\n\t-ms-transform:translate(74.723px,120.409px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(74.723px,120.409px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(74.723px,120.409px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(74.723px,120.409px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.22px;\n\tz-index:13;\n}\n#_idContainer310 {\n\t-ms-transform:translate(117.327px,51.154px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(117.327px,51.154px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(117.327px,51.154px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(117.327px,51.154px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:34.75px;\n\tz-index:2;\n}\n#_idContainer311 {\n\t-ms-transform:translate(111.074px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(111.074px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(111.074px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(111.074px,82.558px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.18px;\n\tz-index:6;\n}\n#_idContainer312 {\n\t-ms-transform:translate(140.895px,74.783px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(140.895px,74.783px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(140.895px,74.783px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(140.895px,74.783px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.22px;\n\tz-index:7;\n}\n#_idContainer313 {\n\t-ms-transform:translate(-29.373px,28.269px) rotate(338.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(-29.373px,28.269px) rotate(338.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:147.91px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(-29.373px,28.269px) rotate(338.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(-29.373px,28.269px) rotate(338.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:153.12px;\n\tz-index:0;\n}\n#_idContainer314 {\n\t-ms-transform:translate(0.000px,72.749px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,72.749px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:128.32px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,72.749px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,72.749px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.12px;\n\tz-index:1;\n}\n#_idContainer315 {\n\t-ms-transform:translate(6.618px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(6.618px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(6.618px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(6.618px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.90px;\n\tz-index:7;\n}\n#_idContainer316 {\n\t-ms-transform:translate(20.048px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(20.048px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(20.048px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(20.048px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.04px;\n\tz-index:13;\n}\n#_idContainer317 {\n\t-ms-transform:translate(34.001px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(34.001px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(34.001px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(34.001px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.47px;\n\tz-index:14;\n}\n#_idContainer318 {\n\t-ms-transform:translate(61.229px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(61.229px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(61.229px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(61.229px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.71px;\n\tz-index:8;\n}\n#_idContainer319 {\n\t-ms-transform:translate(61.109px,5.809px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(61.109px,5.809px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:123.99px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(61.109px,5.809px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(61.109px,5.809px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.12px;\n\tz-index:0;\n}\n#_idContainer320 {\n\t-ms-transform:translate(46.908px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(46.908px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(46.908px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(46.908px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.23px;\n\tz-index:15;\n}\n#_idContainer321 {\n\t-ms-transform:translate(66.405px,16.001px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(66.405px,16.001px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(66.405px,16.001px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(66.405px,16.001px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.09px;\n\tz-index:2;\n}\n#_idContainer322 {\n\t-ms-transform:translate(66.405px,28.573px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(66.405px,28.573px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(66.405px,28.573px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(66.405px,28.573px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.09px;\n\tz-index:3;\n}\n#_idContainer323 {\n\t-ms-transform:translate(66.405px,41.146px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(66.405px,41.146px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(66.405px,41.146px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(66.405px,41.146px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.09px;\n\tz-index:4;\n}\n#_idContainer324 {\n\t-ms-transform:translate(56.956px,69.719px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(56.956px,69.719px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(56.956px,69.719px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(56.956px,69.719px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.71px;\n\tz-index:21;\n}\n#_idContainer325 {\n\t-ms-transform:translate(44.411px,8.766px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(44.411px,8.766px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:115.70px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(44.411px,8.766px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(44.411px,8.766px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:37.83px;\n\tz-index:22;\n}\n#_idContainer326 {\n\t-ms-transform:translate(66.405px,53.718px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(66.405px,53.718px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(66.405px,53.718px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(66.405px,53.718px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:5.09px;\n\tz-index:5;\n}\n#_idContainer327 {\n\t-ms-transform:translate(66.433px,78.825px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(66.433px,78.825px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(66.433px,78.825px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(66.433px,78.825px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.14px;\n\tz-index:6;\n}\n#_idContainer328 {\n\t-ms-transform:translate(66.386px,91.492px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(66.386px,91.492px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(66.386px,91.492px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(66.386px,91.492px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.18px;\n\tz-index:10;\n}\n#_idContainer329 {\n\t-ms-transform:translate(95.468px,8.385px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(95.468px,8.385px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.20px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(95.468px,8.385px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(95.468px,8.385px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:21.14px;\n\tz-index:20;\n}\n#_idContainer330 {\n\t-ms-transform:translate(74.386px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(74.386px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(74.386px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(74.386px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.71px;\n\tz-index:16;\n}\n#_idContainer331 {\n\t-ms-transform:translate(66.386px,104.065px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(66.386px,104.065px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(66.386px,104.065px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(66.386px,104.065px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.18px;\n\tz-index:11;\n}\n#_idContainer332 {\n\t-ms-transform:translate(66.386px,116.637px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(66.386px,116.637px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(66.386px,116.637px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(66.386px,116.637px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.18px;\n\tz-index:12;\n}\n#_idContainer333 {\n\t-ms-transform:translate(87.387px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(87.387px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(87.387px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(87.387px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.71px;\n\tz-index:17;\n}\n#_idContainer334 {\n\t-ms-transform:translate(100.626px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(100.626px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(100.626px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(100.626px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.71px;\n\tz-index:18;\n}\n#_idContainer335 {\n\t-ms-transform:translate(113.580px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(113.580px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(113.580px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(113.580px,71.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.71px;\n\tz-index:19;\n}\n#_idContainer336 {\n\t-ms-transform:translate(131.438px,66.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(131.438px,66.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:4.90px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(131.438px,66.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(131.438px,66.386px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:7.71px;\n\tz-index:9;\n}\n#_idContainer337 {\n\t-ms-transform:translate(70.828px,91.717px) rotate(341.500deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(70.828px,91.717px) rotate(341.500deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:131.63px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(70.828px,91.717px) rotate(341.500deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(70.828px,91.717px) rotate(341.500deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:139.14px;\n\tz-index:1;\n}\n#_idContainer338 {\n\t-ms-transform:translate(0.000px,77.307px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,77.307px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:128.89px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,77.307px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,77.307px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.00px;\n\tz-index:0;\n}\n#_idContainer339 {\n\t-ms-transform:translate(22.195px,55.551px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(22.195px,55.551px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:84.67px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(22.195px,55.551px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(22.195px,55.551px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.00px;\n\tz-index:1;\n}\n#_idContainer340 {\n\t-ms-transform:translate(15.938px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(15.938px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(15.938px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(15.938px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.47px;\n\tz-index:10;\n}\n#_idContainer341 {\n\t-ms-transform:translate(36.631px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(36.631px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(36.631px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(36.631px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.47px;\n\tz-index:11;\n}\n#_idContainer342 {\n\t-ms-transform:translate(59.329px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(59.329px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(59.329px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(59.329px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.47px;\n\tz-index:8;\n}\n#_idContainer343 {\n\t-ms-transform:translate(61.107px,8.362px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(61.107px,8.362px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:128.39px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(61.107px,8.362px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(61.107px,8.362px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.18px;\n\tz-index:14;\n}\n#_idContainer344 {\n\t-ms-transform:translate(56.902px,74.971px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(56.902px,74.971px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.24px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(56.902px,74.971px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(56.902px,74.971px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.50px;\n\tz-index:9;\n}\n#_idContainer345 {\n\t-ms-transform:translate(69.604px,26.787px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(69.604px,26.787px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(69.604px,26.787px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(69.604px,26.787px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.56px;\n\tz-index:4;\n}\n#_idContainer346 {\n\t-ms-transform:translate(69.604px,48.047px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(69.604px,48.047px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(69.604px,48.047px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(69.604px,48.047px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.56px;\n\tz-index:3;\n}\n#_idContainer347 {\n\t-ms-transform:translate(70.100px,91.346px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(70.100px,91.346px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(70.100px,91.346px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(70.100px,91.346px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.47px;\n\tz-index:12;\n}\n#_idContainer348 {\n\t-ms-transform:translate(70.100px,112.960px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(70.100px,112.960px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(70.100px,112.960px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(70.100px,112.960px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.47px;\n\tz-index:13;\n}\n#_idContainer349 {\n\t-ms-transform:translate(82.802px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(82.802px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(82.802px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(82.802px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:8.56px;\n\tz-index:5;\n}\n#_idContainer350 {\n\t-ms-transform:translate(110.069px,47.990px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(110.069px,47.990px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(110.069px,47.990px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(110.069px,47.990px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:32.60px;\n\tz-index:2;\n}\n#_idContainer351 {\n\t-ms-transform:translate(104.203px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(104.203px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(104.203px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(104.203px,77.451px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.55px;\n\tz-index:6;\n}\n#_idContainer352 {\n\t-ms-transform:translate(132.179px,70.157px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(132.179px,70.157px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.29px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(132.179px,70.157px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(132.179px,70.157px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.47px;\n\tz-index:7;\n}\n#_idContainer353 {\n\t-ms-transform:translate(120.844px,175.172px) rotate(346.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(120.844px,175.172px) rotate(346.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:138.76px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(120.844px,175.172px) rotate(346.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(120.844px,175.172px) rotate(346.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:143.65px;\n\tz-index:2;\n}\n#_idContainer354 {\n\t-ms-transform:translate(40.972px,8.177px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(40.972px,8.177px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:294.03px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(40.972px,8.177px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(40.972px,8.177px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:278.96px;\n\tz-index:1;\n}\n#_idContainer355 {\n\t-ms-transform:translate(-14.996px,-45.396px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(-14.996px,-45.396px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:321.11px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(-14.996px,-45.396px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(-14.996px,-45.396px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:339.98px;\n\tz-index:0;\n}\n#_idContainer356 {\n\tdisplay:inline-block;\n\theight:235px;\n\toverflow:hidden;\n\tposition:relative;\n\twidth:268px;\n}\n#_idContainer364, #_idContainer581, #_idContainer675, #_idContainer690, #_idContainer696, #_idContainer1016, #_idContainer1023 {\n\t-ms-transform:translate(0.000px,16.302px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,16.302px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:22.31px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,16.302px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,16.302px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:22.31px;\n\tz-index:1;\n}\n#_idContainer365, #_idContainer1025 {\n\t-ms-transform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.17px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.84px;\n\tz-index:2;\n}\n#_idContainer366 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:20.97px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:150.24px;\n\tz-index:0;\n}\n#_idContainer367 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:161px;\n}\n#_idContainer370 {\n\t-ms-transform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:178.18px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:512.74px;\n\tz-index:0;\n}\n#_idContainer371 {\n\t-ms-transform:translate(171.779px,24.191px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(171.779px,24.191px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:159.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(171.779px,24.191px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(171.779px,24.191px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:2;\n}\n#_idContainer372, #_idContainer774 {\n\t-ms-transform:translate(229.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(229.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:20.30px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(229.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(229.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:59.53px;\n\tz-index:1;\n}\n#_idContainer373 {\n\t-ms-transform:translate(346.744px,24.191px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(346.744px,24.191px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:159.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(346.744px,24.191px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(346.744px,24.191px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:3;\n}\n#_idContainer374 {\n\tdisplay:inline-block;\n\theight:194px;\n\tposition:relative;\n\twidth:519px;\n}\n#_idContainer379, #_idContainer384 {\n\tdisplay:inline-block;\n\theight:63px;\n\twidth:1px;\n}\n#_idContainer404 {\n\tdisplay:inline-block;\n\theight:34px;\n\twidth:1px;\n}\n#_idContainer543 {\n\tdisplay:inline-block;\n\theight:50px;\n\twidth:1px;\n}\n#_idContainer582 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:151.37px;\n\tz-index:0;\n}\n#_idContainer583 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:162.14px;\n\tz-index:0;\n}\n#_idContainer584, #_idContainer678, #_idContainer693, #_idContainer699, #_idContainer1019 {\n\t-ms-transform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.17px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(9.921px,8.926px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.84px;\n\tz-index:1;\n}\n#_idContainer585 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:162px;\n}\n#_idContainer633 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:48.05px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.50px;\n\tz-index:1;\n}\n#_idContainer634 {\n\t-ms-transform:translate(0.000px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.52px;\n\tz-index:1;\n}\n#_idContainer635 {\n\t-ms-transform:translate(0.000px,31.923px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,31.923px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,31.923px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,31.923px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 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0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(27.921px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(27.921px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.52px;\n\tz-index:2;\n}\n#_idContainer638 {\n\t-ms-transform:translate(69.874px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(69.874px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(69.874px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(69.874px,27.846px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:6.52px;\n\tz-index:3;\n}\n#_idContainer639 {\n\t-ms-transform:translate(3.935px,0.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(3.935px,0.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:44.81px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(3.935px,0.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(3.935px,0.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:97.80px;\n\tz-index:0;\n}\n#_idContainer640 {\n\tdisplay:inline-block;\n\theight:48px;\n\tposition:relative;\n\twidth:102px;\n}\n#_idContainer642 {\n\tdisplay:inline-block;\n\theight:36px;\n\twidth:1px;\n}\n#_idContainer676, #_idContainer691 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:257.95px;\n\tz-index:0;\n}\n#_idContainer677, #_idContainer692 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:268.72px;\n\tz-index:0;\n}\n#_idContainer679, #_idContainer694 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:269px;\n}\n#_idContainer695 {\n\t-ms-transform:translate(0.000px,40.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,40.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.04px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,40.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,40.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:518.74px;\n\tz-index:1;\n}\n#_idContainer697 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:241.51px;\n\tz-index:0;\n}\n#_idContainer698 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:252.28px;\n\tz-index:0;\n}\n#_idContainer700 {\n\t-ms-transform:translate(133.511px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(133.511px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(133.511px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(133.511px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:252.28px;\n\tz-index:0;\n}\n#_idContainer701 {\n\tdisplay:inline-block;\n\theight:54px;\n\tposition:relative;\n\twidth:519px;\n}\n#_idContainer773 {\n\t-ms-transform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:121.87px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,9.609px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:512.74px;\n\tz-index:0;\n}\n#_idContainer775 {\n\tdisplay:inline-block;\n\theight:137px;\n\tposition:relative;\n\twidth:519px;\n}\n#_idContainer776 {\n\t-ms-transform:translate(0.000px,9.900px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,9.900px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:0.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,9.900px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,9.900px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:517.74px;\n\tz-index:0;\n}\n#_idContainer777 {\n\t-ms-transform:translate(190.306px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(190.306px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.54px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(190.306px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(190.306px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:138.13px;\n\tz-index:1;\n}\n#_idContainer778 {\n\tdisplay:inline-block;\n\theight:22px;\n\tposition:relative;\n\twidth:519px;\n}\n#_idContainer779 {\n\tdisplay:inline-block;\n\theight:1px;\n\twidth:52px;\n}\n#_idContainer781, #_idContainer790, #_idContainer866, #_idContainer925 {\n\t-ms-transform:translate(0.000px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.25px;\n\tz-index:1;\n}\n#_idContainer782, #_idContainer791, #_idContainer867, #_idContainer926 {\n\t-ms-transform:translate(7.736px,9.204px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(7.736px,9.204px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.32px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(7.736px,9.204px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(7.736px,9.204px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.65px;\n\tz-index:3;\n}\n#_idContainer783, #_idContainer792 {\n\t-ms-transform:translate(10.966px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.966px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.966px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.966px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.25px;\n\tz-index:0;\n}\n#_idContainer784, #_idContainer793, #_idContainer869, #_idContainer928 {\n\t-ms-transform:translate(30.553px,9.204px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(30.553px,9.204px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:15.32px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(30.553px,9.204px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(30.553px,9.204px) rotate(180.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.65px;\n\tz-index:4;\n}\n#_idContainer785, #_idContainer794, #_idContainer870, #_idContainer929 {\n\t-ms-transform:translate(25.706px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(25.706px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(25.706px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(25.706px,26.078px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.25px;\n\tz-index:2;\n}\n#_idContainer786, #_idContainer795, #_idContainer871, #_idContainer930 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:37px;\n}\n#_idContainer829 {\n\tdisplay:inline-block;\n\theight:118px;\n\twidth:1px;\n}\n#_idContainer830 {\n\tdisplay:inline-block;\n\theight:25px;\n\tposition:relative;\n\twidth:30px;\n}\n#_idContainer861 {\n\tdisplay:inline-block;\n\theight:47px;\n\twidth:1px;\n}\n#_idContainer868 {\n\t-ms-transform:translate(10.966px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.966px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.966px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.966px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.26px;\n\tz-index:0;\n}\n#_idContainer872 {\n\tdisplay:inline-block;\n\theight:79px;\n\twidth:1px;\n}\n#_idContainer883 {\n\tdisplay:inline-block;\n\theight:37px;\n\twidth:1px;\n}\n#_idContainer893 {\n\tdisplay:inline-block;\n\theight:44px;\n\twidth:1px;\n}\n#_idContainer919, #_idContainer923 {\n\tdisplay:inline-block;\n\theight:33px;\n\twidth:1px;\n}\n#_idContainer927 {\n\t-ms-transform:translate(13.801px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(13.801px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:7.44px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(13.801px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(13.801px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:12.77px;\n\tz-index:0;\n}\n#_idContainer932 {\n\tdisplay:inline-block;\n\theight:22px;\n\twidth:1px;\n}\n#_idContainer950, #_idContainer951 {\n\tdisplay:inline-block;\n\theight:168px;\n\tposition:relative;\n\twidth:0px;\n}\n#_idContainer952, #_idContainer953, #_idContainer954, #_idContainer955, #_idContainer956, #_idContainer957 {\n\tdisplay:inline-block;\n\theight:708px;\n\tposition:relative;\n\twidth:0px;\n}\n#_idContainer958 {\n\tdisplay:inline-block;\n\theight:0px;\n\tposition:relative;\n\twidth:518px;\n}\n#_idContainer1017 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:181.95px;\n\tz-index:0;\n}\n#_idContainer1018 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:192.72px;\n\tz-index:0;\n}\n#_idContainer1020 {\n\tdisplay:inline-block;\n\theight:33px;\n\tposition:relative;\n\twidth:193px;\n}\n#_idContainer1021, #_idContainer1022 {\n\tdisplay:inline-block;\n\theight:570px;\n\tposition:relative;\n\twidth:0px;\n}\n#_idContainer1024 {\n\t-ms-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:21.26px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.771px,5.673px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:111.97px;\n\tz-index:0;\n}\n#_idContainer1026 {\n\t-ms-transform:translate(288.501px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(288.501px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:32.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(288.501px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(288.501px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:122.74px;\n\tz-index:19;\n}\n#_idContainer1027 {\n\t-ms-transform:translate(518.767px,36.791px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(518.767px,36.791px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:130.75px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(518.767px,36.791px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(518.767px,36.791px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:100.84px;\n\tz-index:8;\n}\n#_idContainer1029 {\n\t-ms-transform:translate(385.607px,38.079px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(385.607px,38.079px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:121.50px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(385.607px,38.079px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(385.607px,38.079px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:121.67px;\n\tz-index:9;\n}\n#_idContainer1030 {\n\t-ms-transform:translate(126.373px,39.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(126.373px,39.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:58.52px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(126.373px,39.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(126.373px,39.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:136.98px;\n\tz-index:16;\n}\n#_idContainer1033 {\n\t-ms-transform:translate(0.753px,39.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.753px,39.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:52.47px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.753px,39.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.753px,39.258px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:111.52px;\n\tz-index:18;\n}\n#_idContainer1034 {\n\t-ms-transform:translate(273.046px,39.791px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(273.046px,39.791px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:97.63px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(273.046px,39.791px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(273.046px,39.791px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:99.02px;\n\tz-index:6;\n}\n#_idContainer1035 {\n\t-ms-transform:translate(630.283px,49.210px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(630.283px,49.210px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:90.03px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(630.283px,49.210px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(630.283px,49.210px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:76.45px;\n\tz-index:7;\n}\n#_idContainer1036 {\n\t-ms-transform:translate(127.023px,67.991px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(127.023px,67.991px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:11.75px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(127.023px,67.991px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(127.023px,67.991px) rotate(270.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:32;\n}\n#_idContainer1037 {\n\t-ms-transform:translate(620.360px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(620.360px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(620.360px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(620.360px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.06px;\n\tz-index:47;\n}\n#_idContainer1038 {\n\t-ms-transform:translate(508.027px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(508.027px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(508.027px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(508.027px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.39px;\n\tz-index:46;\n}\n#_idContainer1039 {\n\t-ms-transform:translate(372.815px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(372.815px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(372.815px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(372.815px,91.708px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.44px;\n\tz-index:45;\n}\n#_idContainer1040 {\n\t-ms-transform:translate(70.436px,92.074px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(70.436px,92.074px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:8.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(70.436px,92.074px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(70.436px,92.074px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:31;\n}\n#_idContainer1041 {\n\t-ms-transform:translate(204.354px,109.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(204.354px,109.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:9.09px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(204.354px,109.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(204.354px,109.475px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:27;\n}\n#_idContainer1042 {\n\t-ms-transform:translate(1.587px,101.825px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(1.587px,101.825px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:72.94px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(1.587px,101.825px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(1.587px,101.825px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:127.45px;\n\tz-index:5;\n}\n#_idContainer1043 {\n\t-ms-transform:translate(146.619px,108.988px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(146.619px,108.988px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:68.69px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(146.619px,108.988px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(146.619px,108.988px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:121.67px;\n\tz-index:17;\n}\n#_idContainer1044 {\n\t-ms-transform:translate(316.505px,151.850px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(316.505px,151.850px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(316.505px,151.850px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(316.505px,151.850px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:11.44px;\n\tz-index:49;\n}\n#_idContainer1045 {\n\t-ms-transform:translate(295.096px,149.832px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(295.096px,149.832px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(295.096px,149.832px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(295.096px,149.832px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:42.82px;\n\tz-index:3;\n}\n#_idContainer1046 {\n\t-ms-transform:translate(336.081px,156.365px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(336.081px,156.365px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.78px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(336.081px,156.365px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(336.081px,156.365px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:27.54px;\n\tz-index:48;\n}\n#_idContainer1047 {\n\t-ms-transform:translate(478.919px,170.155px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(478.919px,170.155px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(478.919px,170.155px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(478.919px,170.155px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:97.70px;\n\tz-index:1;\n}\n#_idContainer1048 {\n\t-ms-transform:translate(324.108px,172.148px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(324.108px,172.148px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(324.108px,172.148px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(324.108px,172.148px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:77.45px;\n\tz-index:2;\n}\n#_idContainer1049 {\n\t-ms-transform:translate(70.436px,173.516px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(70.436px,173.516px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:9.09px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(70.436px,173.516px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(70.436px,173.516px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:26;\n}\n#_idContainer1050 {\n\t-ms-transform:translate(576.893px,177.090px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(576.893px,177.090px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:25.71px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(576.893px,177.090px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(576.893px,177.090px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:67.60px;\n\tz-index:36;\n}\n#_idContainer1051 {\n\t-ms-transform:translate(375.328px,178.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(375.328px,178.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:59.35px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(375.328px,178.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(375.328px,178.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:101.99px;\n\tz-index:35;\n}\n#_idContainer1052 {\n\t-ms-transform:translate(119.286px,178.562px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(119.286px,178.562px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.03px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(119.286px,178.562px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(119.286px,178.562px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:204.59px;\n\tz-index:50;\n}\n#_idContainer1053 {\n\t-ms-transform:translate(23.585px,184.608px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(23.585px,184.608px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(23.585px,184.608px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(23.585px,184.608px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 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0%;\n\theight:43.99px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:101.56px;\n\tz-index:0;\n}\n#_idContainer1068 {\n\t-ms-transform:translate(10.520px,4.892px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(10.520px,4.892px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:36.54px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(10.520px,4.892px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(10.520px,4.892px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 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0%;\n\theight:20.78px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(647.328px,264.916px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(647.328px,264.916px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:42;\n}\n#_idContainer1071 {\n\t-ms-transform:translate(361.234px,291.507px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(361.234px,291.507px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:8.25px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(361.234px,291.507px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(361.234px,291.507px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:1.60px;\n\tz-index:33;\n}\n#_idContainer1072 {\n\t-ms-transform:translate(590.420px,287.044px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(590.420px,287.044px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:71.33px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(590.420px,287.044px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(590.420px,287.044px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:116.82px;\n\tz-index:14;\n}\n#_idContainer1073 {\n\t-ms-transform:translate(325.537px,291.507px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(325.537px,291.507px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:17.07px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(325.537px,291.507px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(325.537px,291.507px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:75.48px;\n\tz-index:54;\n}\n#_idContainer1074 {\n\t-ms-transform:translate(311.803px,299.640px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(311.803px,299.640px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:14.03px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(311.803px,299.640px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(311.803px,299.640px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:21.62px;\n\tz-index:53;\n}\n#_idContainer1075 {\n\t-ms-transform:translate(520.617px,314.267px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(520.617px,314.267px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:30.57px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(520.617px,314.267px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(520.617px,314.267px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:29.40px;\n\tz-index:38;\n}\n#_idContainer1076 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:136.91px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:203.71px;\n\tz-index:0;\n}\n#_idContainer1077 {\n\t-ms-transform:translate(55.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(55.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(55.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(55.606px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.17px;\n\tz-index:0;\n}\n#_idContainer1078 {\n\t-ms-transform:translate(7.234px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(7.234px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(7.234px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(7.234px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.17px;\n\tz-index:1;\n}\n#_idContainer1079 {\n\t-ms-transform:translate(49.144px,7.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(49.144px,7.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:49.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(49.144px,7.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(49.144px,7.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:23.31px;\n\tz-index:3;\n}\n#_idContainer1080 {\n\t-ms-transform:translate(0.000px,7.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,7.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:49.47px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,7.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,7.913px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:23.31px;\n\tz-index:2;\n}\n#_idContainer1081 {\n\t-ms-transform:translate(57.691px,14.501px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(57.691px,14.501px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:35.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(57.691px,14.501px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(57.691px,14.501px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.64px;\n\tz-index:5;\n}\n#_idContainer1082 {\n\t-ms-transform:translate(7.234px,14.501px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(7.234px,14.501px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:35.77px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(7.234px,14.501px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(7.234px,14.501px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:9.64px;\n\tz-index:4;\n}\n#_idContainer1083 {\n\t-ms-transform:translate(16.512px,18.441px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(16.512px,18.441px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.56px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(16.512px,18.441px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(16.512px,18.441px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:40.84px;\n\tz-index:6;\n}\n#_idContainer1084 {\n\t-ms-transform:translate(16.511px,18.442px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(16.511px,18.442px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:13.55px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(16.511px,18.442px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(16.511px,18.442px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:40.67px;\n\tz-index:7;\n}\n#_idContainer1085 {\n\t-ms-transform:translate(16.651px,45.921px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(16.651px,45.921px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:1.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(16.651px,45.921px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(16.651px,45.921px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:40.67px;\n\tz-index:8;\n}\n#_idContainer1086 {\n\t-ms-transform:translate(14.187px,76.714px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(14.187px,76.714px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:58.14px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(14.187px,76.714px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(14.187px,76.714px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:73.22px;\n\tz-index:1;\n}\n#_idContainer1087 {\n\t-ms-transform:translate(147.784px,315.017px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(147.784px,315.017px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:137.91px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(147.784px,315.017px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(147.784px,315.017px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:204.71px;\n\tz-index:20;\n}\n#_idContainer1088 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:88.93px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:159.03px;\n\tz-index:0;\n}\n#_idContainer1089 {\n\t-ms-transform:translate(36.436px,22.315px) rotate(321.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(36.436px,22.315px) rotate(321.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:6.94px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(36.436px,22.315px) rotate(321.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(36.436px,22.315px) rotate(321.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:35.46px;\n\tz-index:0;\n}\n#_idContainer1090 {\n\t-ms-transform:translate(23.170px,22.817px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(23.170px,22.817px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:0.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(23.170px,22.817px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(23.170px,22.817px) rotate(315.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:31.27px;\n\tz-index:3;\n}\n#_idContainer1091 {\n\t-ms-transform:translate(0.353px,-0.001px) rotate(45.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.353px,-0.001px) rotate(45.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:0.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.353px,-0.001px) rotate(45.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.353px,-0.001px) rotate(45.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:31.27px;\n\tz-index:2;\n}\n#_idContainer1092 {\n\t-ms-transform:translate(22.920px,0.176px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(22.920px,0.176px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:22.24px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(22.920px,0.176px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(22.920px,0.176px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:0;\n}\n#_idContainer1093 {\n\t-ms-transform:translate(0.176px,23.420px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.176px,23.420px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:44.99px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.176px,23.420px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.176px,23.420px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:0.00px;\n\tz-index:1;\n}\n#_idContainer1094 {\n\t-ms-transform:translate(0.000px,7.960px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,7.960px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:23.42px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,7.960px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,7.960px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:46.34px;\n\tz-index:1;\n}\n#_idContainer1095 {\n\t-ms-transform:translate(80.247px,5.514px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(80.247px,5.514px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:31.38px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(80.247px,5.514px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(80.247px,5.514px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:68.36px;\n\tz-index:1;\n}\n#_idContainer1096 {\n\t-ms-transform:translate(361.234px,319.761px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(361.234px,319.761px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:89.93px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(361.234px,319.761px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(361.234px,319.761px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:160.03px;\n\tz-index:22;\n}\n#_idContainer1097 {\n\t-ms-transform:translate(70.436px,344.004px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(70.436px,344.004px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:16.06px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(70.436px,344.004px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform:translate(70.436px,344.004px) rotate(0.000deg) skew(0.000deg) scale(1.000,-1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:29;\n}\n#_idContainer1098 {\n\t-ms-transform:translate(1.587px,343.354px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(1.587px,343.354px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:111.43px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(1.587px,343.354px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(1.587px,343.354px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:121.67px;\n\tz-index:10;\n}\n#_idContainer1099 {\n\t-ms-transform:translate(647.328px,359.378px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(647.328px,359.378px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:22.57px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(647.328px,359.378px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(647.328px,359.378px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:2.00px;\n\tz-index:43;\n}\n#_idContainer1100 {\n\t-ms-transform:translate(521.017px,373.392px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(521.017px,373.392px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:42.07px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(521.017px,373.392px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(521.017px,373.392px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.65px;\n\tz-index:39;\n}\n#_idContainer1102 {\n\t-ms-transform:translate(552.331px,383.840px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(552.331px,383.840px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:134.25px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(552.331px,383.840px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(552.331px,383.840px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:154.91px;\n\tz-index:24;\n}\n#_idContainer1103 {\n\t-ms-transform:translate(131.120px,389.259px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(131.120px,389.259px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:69.61px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(131.120px,389.259px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(131.120px,389.259px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.91px;\n\tz-index:34;\n}\n#_idContainer1104 {\n\t-ms-transform:translate(1.412px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(1.412px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:51.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(1.412px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(1.412px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:54.99px;\n\tz-index:0;\n}\n#_idContainer1105, #_idContainer1108, #_idContainer1111, #_idContainer1114 {\n\t-ms-transform:translate(12.995px,0.051px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(12.995px,0.051px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:3.38px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(12.995px,0.051px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(12.995px,0.051px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:3.38px;\n\tz-index:1;\n}\n#_idContainer1106, #_idContainer1109, #_idContainer1112, #_idContainer1115 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:3.20px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:14.92px;\n\tz-index:0;\n}\n#_idContainer1107 {\n\t-ms-transform:translate(43.694px,5.915px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(43.694px,5.915px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:3.43px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(43.694px,5.915px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(43.694px,5.915px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.38px;\n\tz-index:4;\n}\n#_idContainer1110 {\n\t-ms-transform:translate(29.129px,20.249px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(29.129px,20.249px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:3.43px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(29.129px,20.249px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(29.129px,20.249px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.38px;\n\tz-index:3;\n}\n#_idContainer1113 {\n\t-ms-transform:translate(14.564px,34.582px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(14.564px,34.582px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:3.43px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(14.564px,34.582px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(14.564px,34.582px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.38px;\n\tz-index:2;\n}\n#_idContainer1116 {\n\t-ms-transform:translate(0.000px,48.915px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,48.915px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:3.43px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,48.915px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,48.915px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.38px;\n\tz-index:1;\n}\n#_idContainer1117 {\n\tdisplay:inline-block;\n\theight:52px;\n\tposition:relative;\n\twidth:60px;\n}\n#_idContainer1119 {\n\t-ms-transform:translate(373.578px,417.466px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(373.578px,417.466px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:102.82px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(373.578px,417.466px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(373.578px,417.466px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:166.18px;\n\tz-index:25;\n}\n#_idContainer1121 {\n\t-ms-transform:translate(201.590px,455.962px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(201.590px,455.962px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:59.58px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(201.590px,455.962px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(201.590px,455.962px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:153.82px;\n\tz-index:23;\n}\n#_idContainer1122 {\n\t-ms-transform:translate(0.000px,460.868px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(0.000px,460.868px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:57.96px;\n\tleft:0px;\n\toverflow:hidden;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(0.000px,460.868px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,460.868px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:154.36px;\n\tz-index:13;\n}\n#_idContainer1123 {\n\t-ms-transform:translate(540.243px,468.977px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(540.243px,468.977px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(540.243px,468.977px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(540.243px,468.977px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:10.65px;\n\tz-index:41;\n}\n#_idContainer1124 {\n\t-ms-transform:translate(355.755px,481.732px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:0% 0%;\n\t-webkit-transform:translate(355.755px,481.732px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:0% 0%;\n\theight:2.00px;\n\tleft:0px;\n\tposition:absolute;\n\ttop:0px;\n\ttransform:translate(355.755px,481.732px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(355.755px,481.732px) rotate(0.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:0% 0%;\n\ttransform-origin:0% 0%;\n\twidth:16.07px;\n\tz-index:40;\n}\n#_idContainer1125 {\n\t-ms-transform:translate(0.000px,0.000px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-ms-transform-origin:50% 50%;\n\t-webkit-transform:translate(0.000px,0.000px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\t-webkit-transform-origin:50% 50%;\n\tdisplay:inline-block;\n\theight:521px;\n\tposition:relative;\n\ttransform:translate(0.000px,0.000px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform:translate(0.000px,0.000px) rotate(270.000deg) skew(0.000deg) scale(1.000,1.000);\n\ttransform-origin:50% 50%;\n\ttransform-origin:50% 50%;\n\twidth:708px;\n}\nimg._idGenObjectAttribute-1 {\n\theight:33px;\n\twidth:252px;\n}\nimg._idGenObjectAttribute-2 {\n\theight:27px;\n\twidth:252px;\n}\nimg._idGenObjectAttribute-3 {\n\theight:23px;\n\twidth:88px;\n}\nimg._idGenObjectAttribute-4 {\n\theight:23px;\n\twidth:73px;\n}\nimg._idGenObjectAttribute-5 {\n\theight:23px;\n\twidth:35px;\n}\nimg._idGenObjectAttribute-6 {\n\theight:23px;\n\twidth:71px;\n}\nimg._idGenObjectAttribute-7 {\n\theight:19px;\n\twidth:12px;\n}\nimg._idGenObjectAttribute-8 {\n\theight:21px;\n\twidth:12px;\n}\nimg._idGenObjectAttribute-9 {\n\theight:21px;\n\twidth:28px;\n}\nimg._idGenObjectAttribute-10 {\n\theight:23px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-11 {\n\theight:99px;\n\twidth:119px;\n}\nimg._idGenObjectAttribute-12 {\n\theight:77px;\n\twidth:80px;\n}\nimg._idGenObjectAttribute-13 {\n\theight:99px;\n\twidth:122px;\n}\nimg._idGenObjectAttribute-14 {\n\theight:92px;\n\twidth:232px;\n}\nimg._idGenObjectAttribute-15 {\n\theight:110px;\n\twidth:230px;\n}\nimg._idGenObjectAttribute-16 {\n\theight:53px;\n\twidth:252px;\n}\nimg._idGenObjectAttribute-17 {\n\theight:209px;\n\twidth:236px;\n}\nimg._idGenObjectAttribute-18 {\n\theight:174px;\n\twidth:174px;\n}\nimg._idGenObjectAttribute-19 {\n\theight:13px;\n\twidth:16px;\n}\nimg._idGenObjectAttribute-20 {\n\theight:16px;\n\twidth:15px;\n}\nimg._idGenObjectAttribute-21 {\n\theight:28px;\n\twidth:27px;\n}\nimg._idGenObjectAttribute-22 {\n\theight:35px;\n\twidth:49px;\n}\nimg._idGenObjectAttribute-23 {\n\theight:35px;\n\twidth:94px;\n}\nimg._idGenObjectAttribute-24 {\n\theight:130px;\n\twidth:188px;\n}\nimg._idGenObjectAttribute-25 {\n\theight:56px;\n\twidth:46px;\n}\nimg._idGenObjectAttribute-26 {\n\theight:40px;\n\twidth:25px;\n}\nimg._idGenObjectAttribute-27 {\n\theight:28px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-28 {\n\theight:9px;\n\twidth:3px;\n}\nimg._idGenObjectAttribute-29 {\n\theight:188px;\n\twidth:233px;\n}\nimg._idGenObjectAttribute-30 {\n\theight:107px;\n\twidth:252px;\n}\nimg._idGenObjectAttribute-31 {\n\theight:169px;\n\twidth:233px;\n}\nimg._idGenObjectAttribute-32 {\n\theight:26px;\n\twidth:23px;\n}\nimg._idGenObjectAttribute-33 {\n\theight:100.00%;\n\tmin-width:100%;\n\twidth:100.00%;\n}\nimg._idGenObjectAttribute-34 {\n\theight:76px;\n\twidth:73px;\n}\nimg._idGenObjectAttribute-35 {\n\theight:206px;\n\twidth:233px;\n}\nimg._idGenObjectAttribute-36 {\n\theight:20px;\n\twidth:13px;\n}\nimg._idGenObjectAttribute-37 {\n\theight:20px;\n\twidth:12px;\n}\nimg._idGenObjectAttribute-38 {\n\theight:197px;\n\twidth:223px;\n}\nimg._idGenObjectAttribute-39 {\n\theight:24px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-40 {\n\theight:21px;\n\twidth:22px;\n}\nimg._idGenObjectAttribute-41 {\n\theight:14px;\n\twidth:17px;\n}\nimg._idGenObjectAttribute-42 {\n\theight:17px;\n\twidth:11px;\n}\nimg._idGenObjectAttribute-43 {\n\theight:24px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-44 {\n\theight:100px;\n\twidth:96px;\n}\nimg._idGenObjectAttribute-45 {\n\theight:117px;\n\twidth:95px;\n}\nimg._idGenObjectAttribute-46 {\n\theight:64px;\n\twidth:88px;\n}\nimg._idGenObjectAttribute-47 {\n\theight:15px;\n\twidth:36px;\n}\nimg._idGenObjectAttribute-48 {\n\theight:15px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-49 {\n\theight:15px;\n\twidth:37px;\n}\nimg._idGenObjectAttribute-50 {\n\theight:21px;\n\twidth:17px;\n}\nimg._idGenObjectAttribute-51 {\n\theight:21px;\n\twidth:23px;\n}\nimg._idGenObjectAttribute-52 {\n\theight:21px;\n\twidth:49px;\n}\nimg._idGenObjectAttribute-53 {\n\theight:21px;\n\twidth:38px;\n}\nimg._idGenObjectAttribute-54 {\n\theight:106px;\n\twidth:130px;\n}\nimg._idGenObjectAttribute-55 {\n\theight:30px;\n\twidth:54px;\n}\nimg._idGenObjectAttribute-56 {\n\theight:27px;\n\twidth:53px;\n}\nimg._idGenObjectAttribute-57 {\n\theight:60px;\n\twidth:61px;\n}\nimg._idGenObjectAttribute-58 {\n\theight:156px;\n\twidth:166px;\n}\nimg._idGenObjectAttribute-59 {\n\theight:42px;\n\twidth:74px;\n}\nimg._idGenObjectAttribute-60 {\n\theight:175px;\n\twidth:95px;\n}\nimg._idGenObjectAttribute-61 {\n\theight:187px;\n\twidth:95px;\n}\nimg._idGenObjectAttribute-62 {\n\theight:24px;\n\twidth:61px;\n}\nimg._idGenObjectAttribute-63 {\n\theight:24px;\n\twidth:59px;\n}\nimg._idGenObjectAttribute-64 {\n\theight:21px;\n\twidth:40px;\n}\nimg._idGenObjectAttribute-65 {\n\theight:21px;\n\twidth:25px;\n}\nimg._idGenObjectAttribute-66 {\n\theight:21px;\n\twidth:18px;\n}\nimg._idGenObjectAttribute-67 {\n\theight:27px;\n\twidth:58px;\n}\nimg._idGenObjectAttribute-68 {\n\theight:27px;\n\twidth:57px;\n}\nimg._idGenObjectAttribute-69 {\n\theight:14px;\n\twidth:33px;\n}\nimg._idGenObjectAttribute-70 {\n\theight:13px;\n\twidth:33px;\n}\nimg._idGenObjectAttribute-71 {\n\theight:30px;\n\twidth:95px;\n}\nimg._idGenObjectAttribute-72 {\n\theight:30px;\n\twidth:90px;\n}\nimg._idGenObjectAttribute-73 {\n\theight:26px;\n\twidth:31px;\n}\nimg._idGenObjectAttribute-74 {\n\theight:26px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-75 {\n\theight:24px;\n\twidth:15px;\n}\nimg._idGenObjectAttribute-76 {\n\theight:21px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-77 {\n\theight:100px;\n\twidth:97px;\n}\nimg._idGenObjectAttribute-78 {\n\theight:89px;\n\twidth:106px;\n}\nimg._idGenObjectAttribute-79 {\n\theight:15px;\n\twidth:42px;\n}\nimg._idGenObjectAttribute-80 {\n\theight:23px;\n\twidth:21px;\n}\nimg._idGenObjectAttribute-81 {\n\theight:21px;\n\twidth:27px;\n}\nimg._idGenObjectAttribute-82 {\n\theight:24px;\n\twidth:252px;\n}\nimg._idGenObjectAttribute-83 {\n\theight:23px;\n\twidth:56px;\n}\nimg._idGenObjectAttribute-84 {\n\theight:28px;\n\twidth:54px;\n}\nimg._idGenObjectAttribute-85 {\n\theight:18px;\n\twidth:12px;\n}\nimg._idGenObjectAttribute-86 {\n\theight:25px;\n\twidth:50px;\n}\nimg._idGenObjectAttribute-87 {\n\theight:23px;\n\twidth:37px;\n}\nimg._idGenObjectAttribute-88 {\n\theight:24px;\n\twidth:53px;\n}\nimg._idGenObjectAttribute-89 {\n\theight:25px;\n\twidth:73px;\n}\nimg._idGenObjectAttribute-90 {\n\theight:24px;\n\twidth:50px;\n}\nimg._idGenObjectAttribute-91 {\n\theight:24px;\n\twidth:34px;\n}\nimg._idGenObjectAttribute-92 {\n\theight:21px;\n\twidth:19px;\n}\nimg._idGenObjectAttribute-93 {\n\theight:56px;\n\twidth:52px;\n}\nimg._idGenObjectAttribute-94 {\n\theight:25px;\n\twidth:43px;\n}\nimg._idGenObjectAttribute-95 {\n\theight:27px;\n\twidth:48px;\n}\nimg._idGenObjectAttribute-96 {\n\theight:21px;\n\twidth:33px;\n}\nimg._idGenObjectAttribute-97 {\n\theight:24px;\n\twidth:31px;\n}\nimg._idGenObjectAttribute-98 {\n\theight:23px;\n\twidth:34px;\n}\nimg._idGenObjectAttribute-99 {\n\theight:36px;\n\twidth:78px;\n}\nimg._idGenObjectAttribute-100 {\n\theight:51px;\n\twidth:148px;\n}\nimg._idGenObjectAttribute-101 {\n\theight:51px;\n\twidth:95px;\n}\nimg._idGenObjectAttribute-102 {\n\theight:22px;\n\twidth:22px;\n}\nimg._idGenObjectAttribute-103 {\n\theight:22px;\n\twidth:28px;\n}\nimg._idGenObjectAttribute-104 {\n\theight:24px;\n\twidth:27px;\n}\nimg._idGenObjectAttribute-105 {\n\theight:22px;\n\twidth:21px;\n}\nimg._idGenObjectAttribute-106 {\n\theight:32px;\n\twidth:29px;\n}\nimg._idGenObjectAttribute-107 {\n\theight:21px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-108 {\n\theight:24px;\n\twidth:36px;\n}\nimg._idGenObjectAttribute-109 {\n\theight:32px;\n\twidth:33px;\n}\nimg._idGenObjectAttribute-110 {\n\theight:21px;\n\twidth:34px;\n}\nimg._idGenObjectAttribute-111 {\n\theight:24px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-112 {\n\theight:28px;\n\twidth:24px;\n}\nimg._idGenObjectAttribute-113 {\n\theight:24px;\n\twidth:42px;\n}\nimg._idGenObjectAttribute-114 {\n\theight:15px;\n\twidth:10px;\n}\nimg._idGenObjectAttribute-115 {\n\theight:17px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-116 {\n\theight:25px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-117 {\n\theight:25px;\n\twidth:36px;\n}\nimg._idGenObjectAttribute-118 {\n\theight:25px;\n\twidth:35px;\n}\nimg._idGenObjectAttribute-119 {\n\theight:14px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-120 {\n\theight:25px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-121 {\n\theight:36px;\n\twidth:57px;\n}\nimg._idGenObjectAttribute-122 {\n\theight:27px;\n\twidth:88px;\n}\nimg._idGenObjectAttribute-123 {\n\theight:27px;\n\twidth:47px;\n}\nimg._idGenObjectAttribute-124 {\n\theight:29px;\n\twidth:50px;\n}\nimg._idGenObjectAttribute-125 {\n\theight:23px;\n\twidth:33px;\n}\nimg._idGenObjectAttribute-126 {\n\theight:23px;\n\twidth:40px;\n}\nimg._idGenObjectAttribute-127 {\n\theight:23px;\n\twidth:38px;\n}\nimg._idGenObjectAttribute-128 {\n\theight:23px;\n\twidth:42px;\n}\nimg._idGenObjectAttribute-129 {\n\theight:21px;\n\twidth:48px;\n}\nimg._idGenObjectAttribute-130 {\n\theight:15px;\n\twidth:35px;\n}\nimg._idGenObjectAttribute-131 {\n\theight:16px;\n\twidth:47px;\n}\nimg._idGenObjectAttribute-132 {\n\theight:16px;\n\twidth:45px;\n}\nimg._idGenObjectAttribute-133 {\n\theight:16px;\n\twidth:35px;\n}\nimg._idGenObjectAttribute-134 {\n\theight:17px;\n\twidth:75px;\n}\nimg._idGenObjectAttribute-135 {\n\theight:16px;\n\twidth:82px;\n}\nimg._idGenObjectAttribute-136 {\n\theight:15px;\n\twidth:41px;\n}\nimg._idGenObjectAttribute-137 {\n\theight:15px;\n\twidth:40px;\n}\nimg._idGenObjectAttribute-138 {\n\theight:59px;\n\twidth:146px;\n}\nimg._idGenObjectAttribute-139 {\n\theight:32px;\n\twidth:59px;\n}\nimg._idGenObjectAttribute-140 {\n\theight:27px;\n\twidth:40px;\n}\nimg._idGenObjectAttribute-141 {\n\theight:30px;\n\twidth:117px;\n}\nimg._idGenObjectAttribute-142 {\n\theight:54px;\n\twidth:100px;\n}\nimg._idGenObjectAttribute-143 {\n\theight:23px;\n\twidth:41px;\n}\nimg._idGenObjectAttribute-144 {\n\theight:24px;\n\twidth:48px;\n}\nimg._idGenObjectAttribute-145 {\n\theight:24px;\n\twidth:49px;\n}\nimg._idGenObjectAttribute-146 {\n\theight:23px;\n\twidth:116px;\n}\nimg._idGenObjectAttribute-147 {\n\theight:24px;\n\twidth:14px;\n}\nimg._idGenObjectAttribute-148 {\n\theight:27px;\n\twidth:27px;\n}\nimg._idGenObjectAttribute-149 {\n\theight:28px;\n\twidth:31px;\n}\nimg._idGenObjectAttribute-150 {\n\theight:23px;\n\twidth:22px;\n}\nimg._idGenObjectAttribute-151 {\n\theight:38px;\n\twidth:44px;\n}\nimg._idGenObjectAttribute-152 {\n\theight:36px;\n\twidth:29px;\n}\nimg._idGenObjectAttribute-153 {\n\theight:36px;\n\twidth:18px;\n}\nimg._idGenObjectAttribute-154 {\n\theight:14px;\n\twidth:21px;\n}\nimg._idGenObjectAttribute-155 {\n\theight:28px;\n\twidth:58px;\n}\nimg._idGenObjectAttribute-156 {\n\theight:14px;\n\twidth:22px;\n}\nimg._idGenObjectAttribute-157 {\n\theight:28px;\n\twidth:57px;\n}\nimg._idGenObjectAttribute-158 {\n\theight:15px;\n\twidth:57px;\n}\nimg._idGenObjectAttribute-159 {\n\theight:27px;\n\twidth:73px;\n}\nimg._idGenObjectAttribute-160 {\n\theight:27px;\n\twidth:92px;\n}\nimg._idGenObjectAttribute-161 {\n\theight:25px;\n\twidth:47px;\n}\nimg._idGenObjectAttribute-162 {\n\theight:25px;\n\twidth:49px;\n}\nimg._idGenObjectAttribute-163 {\n\theight:44px;\n\twidth:179px;\n}\nimg._idGenObjectAttribute-164 {\n\theight:40px;\n\twidth:73px;\n}\nimg._idGenObjectAttribute-165 {\n\theight:24px;\n\twidth:28px;\n}\nimg._idGenObjectAttribute-166 {\n\theight:24px;\n\twidth:46px;\n}\nimg._idGenObjectAttribute-167 {\n\theight:29px;\n\twidth:64px;\n}\nimg._idGenObjectAttribute-168 {\n\theight:29px;\n\twidth:88px;\n}\nimg._idGenObjectAttribute-169 {\n\theight:28px;\n\twidth:61px;\n}\nimg._idGenObjectAttribute-170 {\n\theight:47px;\n\twidth:106px;\n}\nimg._idGenObjectAttribute-171 {\n\theight:22px;\n\twidth:35px;\n}\nimg._idGenObjectAttribute-172 {\n\theight:21px;\n\twidth:24px;\n}\nimg._idGenObjectAttribute-173 {\n\theight:10px;\n\twidth:5px;\n}\nimg._idGenObjectAttribute-174 {\n\theight:13px;\n\twidth:17px;\n}\nimg._idGenObjectAttribute-175 {\n\theight:13px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-176 {\n\theight:19px;\n\twidth:13px;\n}\nimg._idGenObjectAttribute-177 {\n\theight:22px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-178 {\n\theight:20px;\n\twidth:17px;\n}\nimg._idGenObjectAttribute-179 {\n\theight:26px;\n\twidth:12px;\n}\nimg._idGenObjectAttribute-180 {\n\theight:20px;\n\twidth:37px;\n}\nimg._idGenObjectAttribute-181 {\n\theight:24px;\n\twidth:68px;\n}\nimg._idGenObjectAttribute-182 {\n\theight:27px;\n\twidth:89px;\n}\nimg._idGenObjectAttribute-183 {\n\theight:24px;\n\twidth:119px;\n}\nimg._idGenObjectAttribute-184 {\n\theight:24px;\n\twidth:79px;\n}\nimg._idGenObjectAttribute-185 {\n\theight:21px;\n\twidth:21px;\n}\nimg._idGenObjectAttribute-186 {\n\theight:20px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-187 {\n\theight:21px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-188 {\n\theight:27px;\n\twidth:21px;\n}\nimg._idGenObjectAttribute-189 {\n\theight:22px;\n\twidth:16px;\n}\nimg._idGenObjectAttribute-190 {\n\theight:23px;\n\twidth:36px;\n}\nimg._idGenObjectAttribute-191 {\n\theight:23px;\n\twidth:28px;\n}\nimg._idGenObjectAttribute-192 {\n\theight:20px;\n\twidth:40px;\n}\nimg._idGenObjectAttribute-193 {\n\theight:20px;\n\twidth:25px;\n}\nimg._idGenObjectAttribute-194 {\n\theight:22px;\n\twidth:51px;\n}\nimg._idGenObjectAttribute-195 {\n\theight:26px;\n\twidth:45px;\n}\nimg._idGenObjectAttribute-196 {\n\theight:22px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-197 {\n\theight:26px;\n\twidth:33px;\n}\nimg._idGenObjectAttribute-198 {\n\theight:22px;\n\twidth:14px;\n}\nimg._idGenObjectAttribute-199 {\n\theight:22px;\n\twidth:34px;\n}\nimg._idGenObjectAttribute-200 {\n\theight:13px;\n\twidth:19px;\n}\nimg._idGenObjectAttribute-201 {\n\theight:26px;\n\twidth:64px;\n}\nimg._idGenObjectAttribute-202 {\n\theight:26px;\n\twidth:63px;\n}\nimg._idGenObjectAttribute-203 {\n\theight:28px;\n\twidth:56px;\n}\nimg._idGenObjectAttribute-204 {\n\theight:20px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-205 {\n\theight:20px;\n\twidth:27px;\n}\nimg._idGenObjectAttribute-206 {\n\theight:24px;\n\twidth:57px;\n}\nimg._idGenObjectAttribute-207 {\n\theight:26px;\n\twidth:25px;\n}\nimg._idGenObjectAttribute-208 {\n\theight:24px;\n\twidth:44px;\n}\nimg._idGenObjectAttribute-209 {\n\theight:20px;\n\twidth:33px;\n}\nimg._idGenObjectAttribute-210 {\n\theight:22px;\n\twidth:39px;\n}\nimg._idGenObjectAttribute-211 {\n\theight:22px;\n\twidth:36px;\n}\nimg._idGenObjectAttribute-212 {\n\theight:22px;\n\twidth:42px;\n}\nimg._idGenObjectAttribute-213 {\n\theight:16px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-214 {\n\theight:23px;\n\twidth:25px;\n}\nimg._idGenObjectAttribute-215 {\n\theight:24px;\n\twidth:17px;\n}\nimg._idGenObjectAttribute-216 {\n\theight:24px;\n\twidth:16px;\n}\nimg._idGenObjectAttribute-217 {\n\theight:17px;\n\twidth:34px;\n}\nimg._idGenObjectAttribute-218 {\n\theight:19px;\n\twidth:28px;\n}\nimg._idGenObjectAttribute-219 {\n\theight:59px;\n\twidth:75px;\n}\nimg._idGenObjectAttribute-220 {\n\theight:18px;\n\twidth:19px;\n}\nimg._idGenObjectAttribute-221 {\n\theight:28px;\n\twidth:42px;\n}\nimg._idGenObjectAttribute-222 {\n\theight:22px;\n\twidth:53px;\n}\nimg._idGenObjectAttribute-223 {\n\theight:15px;\n\twidth:63px;\n}\nimg._idGenObjectAttribute-224 {\n\theight:25px;\n\twidth:70px;\n}\nimg._idGenObjectAttribute-225 {\n\theight:26px;\n\twidth:78px;\n}\nimg._idGenObjectAttribute-226 {\n\theight:13px;\n\twidth:32px;\n}\nimg._idGenObjectAttribute-227 {\n\theight:25px;\n\twidth:39px;\n}\nimg._idGenObjectAttribute-228 {\n\theight:23px;\n\twidth:72px;\n}\nimg._idGenObjectAttribute-229 {\n\theight:14px;\n\twidth:37px;\n}\nimg._idGenObjectAttribute-230 {\n\theight:14px;\n\twidth:36px;\n}\nimg._idGenObjectAttribute-231 {\n\theight:17px;\n\twidth:45px;\n}\nimg._idGenObjectAttribute-232 {\n\theight:14px;\n\twidth:78px;\n}\nimg._idGenObjectAttribute-233 {\n\theight:21px;\n\twidth:30px;\n}\nimg._idGenObjectAttribute-234 {\n\theight:22px;\n\twidth:33px;\n}\nimg._idGenObjectAttribute-235 {\n\theight:14px;\n\twidth:49px;\n}\nimg._idGenObjectAttribute-236 {\n\theight:22px;\n\twidth:27px;\n}\nimg._idGenObjectAttribute-237 {\n\theight:24px;\n\twidth:63px;\n}\nimg._idGenObjectAttribute-238 {\n\theight:25px;\n\twidth:55px;\n}\nimg._idGenObjectAttribute-239 {\n\theight:13px;\n\twidth:78px;\n}\nimg._idGenObjectAttribute-240 {\n\theight:13px;\n\twidth:37px;\n}\nimg._idGenObjectAttribute-241 {\n\theight:21px;\n\twidth:39px;\n}\nimg._idGenObjectAttribute-242 {\n\theight:24px;\n\twidth:47px;\n}\nimg._idGenObjectAttribute-243 {\n\theight:5px;\n\twidth:5px;\n}\nimg._idGenObjectAttribute-244 {\n\theight:22px;\n\twidth:23px;\n}\nimg._idGenObjectAttribute-245 {\n\theight:23px;\n\twidth:16px;\n}\nimg._idGenObjectAttribute-246 {\n\theight:25px;\n\twidth:84px;\n}\nimg._idGenObjectAttribute-247 {\n\theight:75px;\n\twidth:70px;\n}\nimg._idGenObjectAttribute-248 {\n\theight:23px;\n\twidth:24px;\n}\nimg._idGenObjectAttribute-249 {\n\theight:29px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-250 {\n\theight:32px;\n\twidth:18px;\n}\nimg._idGenObjectAttribute-251 {\n\theight:27px;\n\twidth:28px;\n}\nimg._idGenObjectAttribute-252 {\n\theight:21px;\n\twidth:41px;\n}\nimg._idGenObjectAttribute-253 {\n\theight:19px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-254 {\n\theight:28px;\n\twidth:36px;\n}\nimg._idGenObjectAttribute-255 {\n\theight:20px;\n\twidth:28px;\n}\nimg._idGenObjectAttribute-256 {\n\theight:28px;\n\twidth:41px;\n}\nimg._idGenObjectAttribute-257 {\n\theight:26px;\n\twidth:49px;\n}\nimg._idGenObjectAttribute-258 {\n\theight:20px;\n\twidth:29px;\n}\nimg._idGenObjectAttribute-259 {\n\theight:23px;\n\twidth:45px;\n}\nimg._idGenObjectAttribute-260 {\n\theight:95px;\n\twidth:155px;\n}\nimg._idGenObjectAttribute-261 {\n\theight:21px;\n\twidth:43px;\n}\nimg._idGenObjectAttribute-262 {\n\theight:15px;\n\twidth:62px;\n}\nimg._idGenObjectAttribute-263 {\n\theight:15px;\n\twidth:74px;\n}\nimg._idGenObjectAttribute-264 {\n\theight:25px;\n\twidth:52px;\n}\nimg._idGenObjectAttribute-265 {\n\theight:62px;\n\twidth:125px;\n}\nimg._idGenObjectAttribute-266 {\n\theight:14px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-267 {\n\theight:21px;\n\twidth:83px;\n}\nimg._idGenObjectAttribute-268 {\n\theight:33px;\n\twidth:129px;\n}\nimg._idGenObjectAttribute-269 {\n\theight:61px;\n\twidth:126px;\n}\nimg._idGenObjectAttribute-270 {\n\theight:26px;\n\twidth:137px;\n}\nimg._idGenObjectAttribute-271 {\n\theight:19px;\n\twidth:27px;\n}\nimg._idGenObjectAttribute-272 {\n\theight:61px;\n\twidth:123px;\n}\nimg._idGenObjectAttribute-273 {\n\theight:20px;\n\twidth:30px;\n}\nimg._idGenObjectAttribute-274 {\n\theight:68px;\n\twidth:133px;\n}\nimg._idGenObjectAttribute-275 {\n\theight:34px;\n\twidth:101px;\n}\nimg._idGenObjectAttribute-276 {\n\theight:22px;\n\twidth:31px;\n}\nimg._idGenObjectAttribute-277 {\n\theight:22px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-278 {\n\theight:62px;\n\twidth:110px;\n}\nimg._idGenObjectAttribute-279 {\n\theight:32px;\n\twidth:101px;\n}\nimg._idGenObjectAttribute-280 {\n\theight:24px;\n\twidth:55px;\n}\nimg._idGenObjectAttribute-281 {\n\theight:66px;\n\twidth:133px;\n}\nimg._idGenObjectAttribute-282 {\n\theight:20px;\n\twidth:19px;\n}\nimg._idGenObjectAttribute-283 {\n\theight:25px;\n\twidth:109px;\n}\nimg._idGenObjectAttribute-284 {\n\theight:13px;\n\twidth:31px;\n}\nimg._idGenObjectAttribute-285 {\n\theight:23px;\n\twidth:103px;\n}\nimg._idGenObjectAttribute-286 {\n\theight:57px;\n\twidth:117px;\n}\nimg._idGenObjectAttribute-287 {\n\theight:83px;\n\twidth:88px;\n}\nimg._idGenObjectAttribute-288 {\n\theight:16px;\n\twidth:84px;\n}\nimg._idGenObjectAttribute-289 {\n\theight:16px;\n\twidth:62px;\n}\nimg._idGenObjectAttribute-290 {\n\theight:18px;\n\twidth:60px;\n}\nimg._idGenObjectAttribute-291 {\n\theight:57px;\n\twidth:83px;\n}\nimg._idGenObjectAttribute-292 {\n\theight:21px;\n\twidth:37px;\n}\nimg._idGenObjectAttribute-293 {\n\theight:26px;\n\twidth:56px;\n}\nimg._idGenObjectAttribute-294 {\n\theight:24px;\n\twidth:45px;\n}\nimg._idGenObjectAttribute-295 {\n\theight:17px;\n\twidth:63px;\n}\nimg._idGenObjectAttribute-296 {\n\theight:24px;\n\twidth:52px;\n}\nimg._idGenObjectAttribute-297 {\n\theight:14px;\n\twidth:35px;\n}\nimg._idGenObjectAttribute-298 {\n\theight:14px;\n\twidth:46px;\n}\nimg._idGenObjectAttribute-299 {\n\theight:27px;\n\twidth:6px;\n}\nimg._idGenObjectAttribute-300 {\n\theight:30px;\n\twidth:58px;\n}\nimg._idGenObjectAttribute-301 {\n\theight:25px;\n\twidth:58px;\n}\nimg._idGenObjectAttribute-302 {\n\theight:27px;\n\twidth:7px;\n}\nimg._idGenObjectAttribute-303 {\n\theight:30px;\n\twidth:78px;\n}\nimg._idGenObjectAttribute-304 {\n\theight:29px;\n\twidth:76px;\n}\nimg._idGenObjectAttribute-305 {\n\theight:27px;\n\twidth:62px;\n}\nimg._idGenObjectAttribute-306 {\n\theight:26px;\n\twidth:72px;\n}\nimg._idGenObjectAttribute-307 {\n\theight:23px;\n\twidth:158px;\n}\nimg._idGenObjectAttribute-308 {\n\theight:71px;\n\twidth:158px;\n}\nimg._idGenObjectAttribute-309 {\n\theight:34px;\n\twidth:54px;\n}\nimg._idGenObjectAttribute-310 {\n\theight:24px;\n\twidth:30px;\n}\nimg._idGenObjectAttribute-311 {\n\theight:23px;\n\twidth:39px;\n}\nimg._idGenObjectAttribute-312 {\n\theight:20px;\n\twidth:22px;\n}\nimg._idGenObjectAttribute-313 {\n\theight:27px;\n\twidth:5px;\n}\nimg._idGenObjectAttribute-314 {\n\theight:182px;\n\twidth:252px;\n}\nimg._idGenObjectAttribute-315 {\n\theight:73px;\n\twidth:63px;\n}\nimg._idGenObjectAttribute-316 {\n\theight:28px;\n\twidth:20px;\n}\nimg._idGenObjectAttribute-317 {\n\theight:28px;\n\twidth:19px;\n}\nimg._idGenObjectAttribute-318 {\n\theight:162px;\n\twidth:51px;\n}\nimg._idGenObjectAttribute-319 {\n\theight:26px;\n\twidth:26px;\n}\nimg._idGenObjectAttribute-320 {\n\theight:10px;\n\twidth:15px;\n}\nimg._idGenObjectAttribute-321 {\n\theight:59px;\n\twidth:31px;\n}\ndiv._idGenObjectStyleOverride-1 {\n\tbackground-color:#ffffff;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-2 {\n\tbackground-color:#ffffff;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-color:#3e7699;\n\tborder-style:solid;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n\tborder-width:2px;\n}\ndiv._idGenObjectStyleOverride-3 {\n\tbackground-color:#3e7699;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-4 {\n\tbackground-color:#e1e8f0;\n\tborder-bottom-left-radius:9px;\n\tborder-bottom-right-radius:9px;\n\tborder-top-left-radius:9px;\n\tborder-top-right-radius:9px;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-5 {\n\tbackground-color:#e1e8f0;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-6 {\n\tbackground-color:#ffffff;\n\tborder-color:#939598;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-7 {\n\tborder-color:#f79a6c;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-8 {\n\tbackground-color:#00aeef;\n\tborder-color:#f15a22;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-9 {\n\tborder-color:#000000;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-10 {\n\tborder-color:#f15a22;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-11 {\n\tbackground-color:#fed363;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-12 {\n\tbackground-color:#ffffff;\n\tborder-color:#2e5e7c;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-13 {\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-14 {\n\tbackground-color:#2e5e7c;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-15 {\n\tbackground-color:#f5f7fa;\n\tborder-color:#99b0c4;\n\tborder-style:solid;\n\tborder-width:3px;\n}\ndiv._idGenObjectStyleOverride-16 {\n\tbackground-color:#81c5e2;\n\tborder-color:#2e5e7c;\n\tborder-style:dotted;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-17 {\n\tbackground-color:#3f6a87;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-18 {\n\tbackground-color:#ebeff4;\n\tborder-color:#99b0c4;\n\tborder-style:solid;\n\tborder-width:3px;\n}\ndiv._idGenObjectStyleOverride-19 {\n\tbackground-color:#ffffff;\n\tborder-color:#3f6a87;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-20 {\n\tbackground-color:#3f6a87;\n\tborder-bottom-left-radius:4px;\n\tborder-bottom-right-radius:4px;\n\tborder-top-left-radius:4px;\n\tborder-top-right-radius:4px;\n\tborder-width:0px;\n}\ndiv._idGenObjectStyleOverride-21 {\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-22 {\n\tbackground-color:#009fc3;\n\tborder-style:dotted;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-23 {\n\tborder-style:dotted;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-24 {\n\tbackground-color:#eaf4e7;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#39b54a;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-25 {\n\tbackground-color:#eaf3e6;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#41ad49;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-26 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#39b54a;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-27 {\n\tbackground-color:#39b54a;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-28 {\n\tbackground-color:#bd202e;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-29 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#bd202e;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-30 {\n\tbackground-color:#41ad49;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-31 {\n\tborder-bottom-left-radius:6px;\n\tborder-bottom-right-radius:6px;\n\tborder-color:#bd202e;\n\tborder-top-left-radius:6px;\n\tborder-top-right-radius:6px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-32 {\n\tbackground-color:#f4e2db;\n\tborder-color:#bd202e;\n\tborder-style:dashed;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-33 {\n\tbackground-color:#f2684d;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-34 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#f2684d;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyleOverride-35 {\n\tbackground-color:#feede4;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#f2684d;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-36 {\n\tbackground-color:#2e5e7c;\n\tborder-bottom-left-radius:13px;\n\tborder-bottom-right-radius:13px;\n\tborder-top-left-radius:13px;\n\tborder-top-right-radius:13px;\n}\ndiv._idGenObjectStyleOverride-37 {\n\tborder-bottom-left-radius:6px;\n\tborder-bottom-right-radius:6px;\n\tborder-color:#00aeef;\n\tborder-top-left-radius:6px;\n\tborder-top-right-radius:6px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-38 {\n\tbackground-color:#00aeef;\n\tborder-bottom-left-radius:12px;\n\tborder-bottom-right-radius:12px;\n\tborder-top-left-radius:12px;\n\tborder-top-right-radius:12px;\n}\ndiv._idGenObjectStyleOverride-39 {\n\tbackground-color:#e1f4fd;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#00aeef;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-40 {\n\tborder-color:#00aeef;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-41 {\n\tbackground-color:#f4e2db;\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#bd202e;\n\tborder-style:dashed;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n\tborder-width:1px;\n}\ndiv._idGenObjectStyleOverride-42 {\n\tborder-bottom-left-radius:3px;\n\tborder-bottom-right-radius:3px;\n\tborder-color:#00aeef;\n\tborder-top-left-radius:3px;\n\tborder-top-right-radius:3px;\n}\ndiv._idGenObjectStyle-Disabled {\n\tbackground-color:transparent;\n\tborder-width:0px;\n}\ndiv._idGenObjectLayout-1 {\n\ttext-align:center;\n}\ndiv._idGenObjectLayout-2 {\n\tmargin:93px -93px 93px -93px;\n}\n" }