List I List II P. The number of polynomials f(x) with non-negative integer coefficients of degree ≤ 2, satisfying f(0) = 0 and ∫ = 1 0 1 dx ) x ( f , is 1. 8 Q. The number of points in the interval [ ] 13 , 13 – at which f(x) = sin(x 2 ) + cos(x 2 ) attains its maximum value, is 2. 2 R. ∫

Question

List I List II P. The number of polynomials f(x) with non-negative integer coefficients of degree ≤ 2, satisfying f(0) = 0 and ∫ = 1 0 1 dx ) x ( f , is 1. 8 Q. The number of points in the interval [ ] 13 , 13 – at which f(x) = sin(x 2 ) + cos(x 2 ) attains its maximum value, is 2. 2 R. ∫ + 2 2 – x 2 ) e 1 ( x 3 dx equals 3. 4 S. ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + ∫ ∫ 2 1 2 1 2 1 0 – dx x – 1 x 1 log x 2 cos dx x – 1 x 1 log x 2 cos equals 4. 0 CAREER POINT CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.) Ph.: 0744-6630500 www.ecareerpoint.com Email: info@cpil.in 50 / 54 Paper-2 [ CODE – 05 ] P Q R S

Accepted Answer

2 3 1 4

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