nstse class 12 pcm solved paper 2011

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CL SS XII M THEM TICS I I The relation R defined on the set N o f natural numbers by xRy 2 x 2 - 3xy y 2 = 0 is: A) synunetric but not reflexive B) only synunetric (C) not s ymmetric but reflexive ( D ) transitive Ill ( 1 tane] 1 taneJ- 1 [a b] M I f tane 1 l -tanS 1 = b a . then: A) a = b = 1 (B) a = cos2 e b = sin2 a C) a= sin2a, b =cos2a D) a = 1, h= sin2 a COSX X 1 Let f ( x) = 2sinx x 2 2 x tanx x 2 A) -1 B)O . f x) then - 2 i s equal to: X-+ X (C ) 2 ( D )-2 If f(x) = i m sinx) 2 n, then f is: n-+oc A) continuous at x = n t t ( B ) discontinuous at x = 2 ( C) discontinuou s a t x 2 D) All o f the above Let f(x) = X J 3-x ; W ~ x 4 Then the points where f(x) takes maximum and minimum values are: (A) 1, 4 (B) 0, 4 (C) 2, 4 (D) 4, 3 I I f J x)dx = x), then j{f(x)} 2 dx i s equal to: (A) {f(x)} 2 ( B ) {ftx)} 3 C) {f x)} 3 D) {ftx)} 2 2 3 U C N / 2011/XII (PCM) www.examrace.com

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8/12/2019 NSTSE Class 12 PCM Solved Paper 2011

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