Page 76 - ISC-12

18Jai Baba Ki ISC Mathematics – Class XII by Gupta–Bansal

18. Match the following two lists:

List-I List-II

2
x + 2x + 4
(A) The minimum value of is (p) 0
x + 2

(B) Let A and B be 3 × 3 matrices of real numbers, where A is (q) 1

symmetric, B is skew symmetric, and

t
k
(A + B)(A − B) = (A − B)(A + B). If (AB) = (−1) AB,
t
where (AB) is the transpose of the matrix AB, then the possible
values of k are

(C) Let a = log (log 2). An integer k satisfying 1 < 2 (−k+3 −α ) < 2, (r) 2
3
3
must be less than

1 π
(D) If sin θ = cos ϕ, then the possible values of θ ± ϕ − (s) 3
π 2

(p) (q) (r) (s)
(A) p q r s

(B) p q r s

(C) p q r s

(D) p q r s

[JEE 2008]