//M1//QN1//MCQ//DL0

òu (x – y, x + y) = (6, 10), íkku x yLku y þkuÄku.

(A) x = – 8, y = 2    (B) x = 8, y = 2    (C) x = 8, y = – 2    (D) x = – 8, y = – 2

//X

//M1//QN2//MCQ//DL0

òu A = {2, 4, 5}, B = {7, 8, 9} íkku n(A × B) = _______.

(A) 6    (B) 9    (C) 3    (D) 0

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//M1//QN3//MCQ//DL0

òu 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.

(A) A ∩ (B ∪ C)    (B) A ∪ (B ∩ C)    (C) A × (B ∪ C)    (D) A × (B ∩ C)

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//M1//QN4//MCQ//DL0

òu A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5} íkku,

(A – C) × (B – C) = ________.

(A) {(1, 2), (1, 5), (2, 5)}    (B) {(1, 4)}    (C) (1, 4)    (D) ykÃku÷ Ãkife yuf Ãký Lknª

//X

//M1//QN5//MCQ//DL0

òu (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.

(A) (1, 5), (2, 3), (3, 5)    (B) (5, 1), (3, 2), (5, 3)    (C) (1, 5), (2, 3), (5, 3)    (D) ykÃku÷ Ãkife yuf Ãký Lknª

//X

//M1//QN6//MCQ//DL0

òu A = {1, 2, 3}, B = {3, 8} íkku, (A ∪ B) × (A ∩ B) = ________ .

(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)}

//X

//M1//QN7//MCQ//DL0

òu A = {2, 3, 5}, B = {2, 5, 6} íkku, (A – B) × (A ∩ B) = ________.

(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

//X

//M1//QN8//MCQ//DL0

òu n(A) = 4, n(B) = 3, n(A × B × C) = 24, íkku,

n(C) = _________.

(A) 228    (B) 1    (C) 12    (D) 2

//X

//M1//QN9//MCQ//DL0

òu A = {1, 2, 3, 4}, B = {a, b} yLku f : A → B íkku,

A × B = _________.

(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

//X

//M1//QN10//MCQ//DL0

òu çku øký A yLku B{kt 99 Mkk{kLÞ ½xfku Au. íkku

A × B yLku B × ALkk Mkk{kLÞ ½xfkuLke MktÏÞk {u¤ðku.

(A) 299    (B) 992    (C) 100    (D) 18

//X

//M1//QN11//MCQ//DL0//EQ

òu A = {x | x2 – 5x + 6 = 0}, B = {2, 4},

C = {4, 5} íkku A × (B ∩ C) =_________.

(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)}

//X

//M1//QN12//MCQ//DL0

òu A = {1, 2, 3, 4, 5}, B = {2, 3, 6, 7} íkku,

(A × B) ∩ (B × A)Lke MkÇÞ MktÏÞk _________ Au.

(A) 18    (B) 6    (C) 4    (D) 0

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//M1//QN13//MCQ//DL0

Äkhku fu, n(A) = n, íkku A ÃkhLkk çkÄk MktçktÄkuLke MktÏÞk ________ Au.

(A) 2n    (B) 2(n)!    (C) 2n2    (D) 2

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//M1//QN14//MCQ//DL0

øký A = {1, 2, 3, 4, 5} ÃkhLkku MktçktÄ R = {(x, y) : |x2 – y2| < 16} ðzu ÔÞkÏÞkrÞík Au, íkku RLku ÞkËeLke heíku ________ ÷¾kÞ Au.

(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)}

//X

//M1//QN15//MCQ//DL0

òu A = {1, 2, 3}, íkku A ÃkhLkk r¼LLk MktçktÄLke MktÏÞk {u¤ðku.

(A) 29    (B) 6    (C) 8    (D) yuf Ãký Lknª

//X

//M1//QN16//MCQ//DL0

«kf]ríkf MktÏÞk øký Ãkh MktçktÄ R yu {(a, b) | a – b = 3} îkhk ÔÞkÏÞkrÞík nkuÞ íkku, R _________ .

(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

//X

//M1//QN17//MCQ//DL0//EQ

f(x) = 2x2 – 1, g(x) = 1 – 3x Mk{kLk çkLku íku heíku x þkuÄku.18. òu f (x) = 4x3 + 3x2 + 3x + 4, íkku x3 = ____.

(A) f (– x)    (B)    (C)    (D) f (x)

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//M1//QN18//MCQ//DL0

òu f : R → R {kxu rðÄuÞ f(x) = 2x + |x| heíku ÔÞkÏÞkrÞík nkuÞ íkku, f(2x) + f(– x) – f(x) = _________.

(A) 2x    (B) 2|x|    (C) – 2x    (D) – 2|x|

//X

//M1//QN19//MCQ//DL0//EQ

òu f(x) = cos[π2]x + cos[– π2]x íkku,

(A) f = 2    (B) f(– π) = 2    (C) f(π) = 1    (D) f = – 1

//X

//M1//QN20//MCQ//DL0//EQ

f(x) = x3 – , íkku f(x) + f = ________.

(A) 2x3    (B)    (C) 1    (D) 0

//X

//M1//QN21//MCQ//DL0//EQ

òu f(x) = 1 – nkuÞ, íkku f = ________.

(A)    (B)    (C)    (D)

//X

//M1//QN22//MCQ//DL0

çknwÃkËe f(x) = xn + 1 {kxu òu f(12) = 1729,

íkku f(15) = ?

(A) 1001    (B) 2075    (C) 3357    (D) 3376

//X

//M1//QN23//MCQ//DL0//EQ

òu f(x) yu rî½kík çknwÃkËe nkuÞ, f(0) = 4 íkÚkk

f(x + 3) – f(x) = 3x + 5, íkku íku rî½kík çknwÃkËe ________ Au.

(A) x2 + x + 24    (B) 3x2 + x + 24    (C) (x2 + 2x + 9)    (D) (3x2 + x + 24)

//X

//M1//QN24//MCQ//DL0//EQ

f : R → R, f(x) = íkku f(– 1) + f(2) + f(4) = ?

(A) – 13    (B) 13    (C) 7    (D) – 7

//X

//M1//QN25//MCQ//DL0//EQ

g(x) = sin [π2] x + sin [– π2] x, ßÞkt, [ ⋅ ] yu {n¥k{ ÃkqýkOf rðÄuÞ Ëþkoðu Au, íkku g = ________.

(A) 0    (B) 1    (C) 2    (D) ykÃku÷ Ãkife yuf Ãký Lknª.

//X

//M1//QN26//MCQ//DL0//EQ

òu u(c) = – 32, íkku u(– 10) = ________.

(A) – 18    (B) – 50    (C) 50    (D) 18

//X

//M1//QN27//MCQ//DL0//EQ

òu f(x) = , íkku = ______, a = – 1.

(A) 0    (B) – 1    (C) 1    (D) Lk {¤u.

//X

//M1//QN28//MCQ//DL0//EQ

f(x) = Lkku «Ëuþ yLku rðMíkkh yLkw¢{u ______ yLku _________ ÚkkÞ.

(A) R, [– 1, 1]    (B) R – {3}, {1, – 1}    (C) R+, R    (D) yuf Ãký Lknª

//X

//M1//QN29//MCQ//DL0

log |x2 – 9|Lkku «Ëuþ _________ Au.

(A) R    (B) R – [– 3, 3]    (C) R – {– 3, 3}    (D) yuf Ãký Lknª

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//M1//QN30//MCQ//DL0//EQ

f (x) = Lkku «Ëuþ _________ Au.

(A) R – {– 1, – 2}    (B) (– 2, ∞)    (C) R – {– 1, – 2, – 3}    (D) (– 3, ∞) – {– 1, – 2}

//X

//M1//QN31//MCQ//DL0//EQ

rðÄuÞ f(x) = Lkku «Ëuþ ________ Au.

(A) R – {1, – 2}    (B) R – {– 1, – 2}    (C) R – {1, 2}    (D) {– 1, – 2}

//X

//M1//QN32//MCQ//DL0//EQ

rðÄuÞ h(x) = Lkku «Ëuþ ________ Au.

(A) (– 4, 4)    (B) [– 4, 4)    (C) [– 4, 4]    (D) R – [– 4, 4]

//X

//M1//QN33//MCQ//DL0//EQ

ðkMíkrðf rðÄuÞ f(x) = Lkku rðMíkkh ________ Au.

(A) (1, ∞)    (B) (– ∞, 1)    (C) R    (D) [1, ∞)

//X

//M1//QN34//MCQ//DL0

f(x) = [x] – xLkku rðMíkkh ________ Au.

(A) [0, 1]    (B) (–1, 0]    (C) R    (D) (–1, 1)

//X

//M1//QN35//MCQ//DL0

f(x) = [x]Lkku rðMíkkh ________ Au.

(A) Z+    (B) N    (C) Z–    (D) Z

//X

//M1//QN36//MCQ//DL0//EQ

f (x) = Lkku «Ëuþ {u¤ðku.

(A) (1, 2)    (B) (– ∞, – 2) ∪ (2, ∞)    (C) (– ∞, – 2) ∪ (1, ∞)    (D) (– ∞, ∞) – {– 1, ± 2}

//X

//M1//QN37//MCQ//DL0//EQ

rðÄuÞ Lkku «Ëuþ _________ Au.

(A) (2, 3)    (B) [2, 3]    (C) [1, 2]    (D) [1, 3]

//X

//M1//QN38//MCQ//DL0//EQ

rðÄuÞ – Lkku «Ëuþ {u¤ðku.

(A) (– 3, 1)    (B) [– 3, 1]    (C) (– 3, 2]    (D) [– 3, 1)

//X

//M1//QN39//MCQ//DL0//EQ

p(x) = Lkku «Ëuþ ________ Au.

(A) (0, 2)    (B) [0, 3]    (C) [0, 2]    (D) R – [0, 2]

//X

//M1//QN40//MCQ//DL0//EQ

rðÄuÞ Lkku «Ëuþ {u¤ðku.

(A) (– 1, 1)    (B) (– 1, 1) – {0}    (C) [– 1, 1]    (D) [– 1, 1] – {0}

//X

//M1//QN41//MCQ//DL0//EQ

rðÄuÞ f (x) = + + Lkku «Ëuþ {u¤ðku.

(A) [– 4, ∞)    (B) [– 4, 4]    (C) [0, 4]    (D) [0, 1]

//X

//M1//QN42//MCQ//DL0//EQ

rðÄuÞ f (x) = Lkku «Ëuþ çkLke þfu íkuðe ðkMíkrðf MktÏÞkykuLkku MkkiÚke {kuxku øký _________ Au.

(A) (0, 1) ∪ (0, ∞)    (B) (– 1, 0) ∪ (1, ∞)    (C) (– ∞, – 1) ∪ (0, ∞)    (D) (– ∞, 0) ∪ [1, ∞)

//X

//M1//QN43//MCQ//DL0//EQ

rðÄuÞ f (x) = + Lkku «Ëuþ {u¤ðku.

(A) 1 < x < ∞    (B) – ∞ < x < ∞    (C) – ∞ < x < – 1    (D) (– ∞, ∞) – (– 1, 1)

//X

//M1//QN44//MCQ//DL0//EQ

rðÄuÞ f (x) = Lkku «Ëuþ _________ Au.

(A) (– ∞, – 1) ∪ (1, ∞)    (B) (– ∞, – 1] ∪ (1, ∞)    (C) (– ∞, – 1] ∪ [1, ∞)    (D) yuf Ãký Lknª

//X

//M1//QN45//MCQ//DL0//EQ

rðÄuÞ Lkku «Ëuþ _________ Au.

(A) (– ∞, ∞)    (B) (– ∞, 3 – ) ∪ (3 + , ∞)    (C) (– ∞, 1] ∪ [5, ∞)    (D) [0, ∞)

//X

//M1//QN46//MCQ//DL0//EQ

rðÄuÞ f(x) = Lkku «Ëuþ _________ Au.

(A)    (B) [– 1, 0]    (C) [0, 1]    (D) [– 1, 1]

//X

//M1//QN47//MCQ//DL0//EQ

rðÄuÞ y = Lkku «Ëuþ _________ Au.

(A) (– ∞, 0)    (B) (– ∞, 0]    (C) (– ∞, – 1)    (D) (– ∞, ∞)

//X

//M1//QN48//MCQ//DL0//EQ

rðÄuÞ f (x) = Lkku «Ëuþ _________ Au.

(A)    (B)    (C) (– ∞, 1]    (D)

//X

//M1//QN49//MCQ//DL0//EQ

rðÄuÞ f (x) = , x ∈ RLkku rðMíkkh _________ Au.

(A) [1, ∞)    (B)    (C)    (D)

//X

//M1//QN50//MCQ//DL0//EQ

òu rðÄuÞ f : R → R, f (x) = Lkku rðMíkkh _________ Au.

(A) R–    (B) [0, 1)    (C) R    (D) R × R

//X

//M1//QN51//MCQ//DL0//EQ

f (x) = Lkku rðMíkkh _________ Au.

(A) [5, 9]    (B) (– ∞, 5] ∪ [9, ∞)    (C) (5, 9)    (D) yuf Ãký Lknª

//X

//M1//QN52//MCQ//DL0//EQ

òu x yu ðkMíkrðf nkuÞ, íkku Mk{efhý Lke ®f{ík _________Lke ðå[u nkuÞ.

(A) 5 yLku 4    (B) 5 yLku – 4    (C) – 5 yLku 4    (D) yuf Ãký Lknª

//X

//M1//QN53//MCQ//DL0//EQ

rðÄuÞ f (x) = + Lkku «Ëuþ _________ Au.

(A) (– 3, – 2.5) ∪ (– 2.5, – 2)    (B) [– 2, 0) ∪ (0, 1)    (C) (0, 1)    (D) yuf Ãký Lknª

//X

//M1//QN54//MCQ//DL0//EQ

f (x) = log Lkku «Ëuþ _______ Au.

(A) [4, ∞)    (B) (– ∞, 6]    (C) [4, 6]    (D) [6, 4]

//X

//M1//QN55//MCQ//DL0//EQ

rðÄuÞ f (x) = log ((log10x)2 – 5 log10 x + 6)Lkku «Ëuþ _________ Au.

(A) (0, 10)2    (B) (103, ∞)    (C) (102, 103)    (D) (0, 102) ∪ (103, ∞)

//X

//M1//QN56//MCQ//DL0//EQ

òu 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) = ________.

(A)    (B)    (C)    (D) –

//X

//M1//QN57//MCQ//DL0//EQ

f (x) = (tan x5) yu _________ rðÄuÞ Au.

(A) yÞwø{ rðÄuÞ    (B) Þwø{ rðÄuÞ    (C) yÞwø{ fu Þwø{ Ãkife yuf Ãký Lknª    (D) {kLkktf rðÄuÞ

//X

//M1//QN58//MCQ//DL0//EQ

f (x) = yu _________ rðÄuÞ Au.

(A) Þwø{ rðÄuÞ    (B) yÞwø{ rðÄuÞ    (C) yÞwø{ fu Þwø{ Ãkife yuf Ãký Lknª    (D) {kLkktf rðÄuÞ

//X

//M1//QN59//MCQ//DL0//EQ

f (x) = x yu _________ rðÄuÞ Au.

(A) yÞwø{ rðÄuÞ    (B) Þwø{ rðÄuÞ    (C) yÞwø{ fu Þwø{ Ãkife yuf Ãký Lknª    (D) {kLkktf rðÄuÞ

//X

//M1//QN60//MCQ//DL0

òu n(A3) = 8 yLku (1, 1, 2) ∈ A3 íkku A =______.

(A) {1, 2, 3}    (B) {1, 2}    (C) {1, 3}    (D) {1, 8}

//X