List I P. The number of polynomials f(x) with non-negative integer coefficients of degree ≤ 2, satisfying...

Question

List I P. The number of polynomials f(x) with non-negative integer coefficients of degree ≤ 2, satisfying f(0) = 0 and _0^1f(x) ,dx = 1, is Q. The number of points in the interval [- 13 , 13 ] at which f(x) = (x^2) + (x^2) attains its maximum value, is R. _ -2 ^ 2 3x^2 (1 + e^x) ,dx equals S. ( _ - 1 2 ^ 1 2 2x ( 1 + x 1 - x )dx ) ( _0^ 1 2 2x ( 1 + x 1 - x )dx ) equals List II 1. 8 2. 2 3. 4 4. 0

Accepted Answer

(D)

JEE Advanced 2014 Mathematics question

Solution

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