Page 61 - ISC-12

Matching-List & Matching-Matrix Type Jai Baba Ki3

3. Match the following two lists:

List-I List-II

(P) The number of polynomials f(x) with non-negative integer (1) 8

coefficients of degree ≤ 2, satisfying f(0) = 0 and
Z 1
f(x) dx = 1, is
0
√ √
(Q) The number of points in the interval [− 13, 13] at which (2) 2
2
2
f(x) = sin (x ) + cos (x ) attains its maximum value, is

2 3x 2
Z
(R) x dx equals (3) 4
−2 1 + e

1/2 1 + x
Z
cos 2x log dx
−1/2 1 − x
(S) equals (4) 0
Z 1/2 1 + x
cos 2x log dx
1 − x
0

(P) (Q) (R) (S)
(A) (3) (2) (4) (1)

(B) (2) (3) (4) (1)

(C) (3) (2) (1) (4)

(D) (2) (3) (1) (4)

[JEE 2014]