Page 70 - ISC-12

12Jai Baba Ki ISC Mathematics – Class XII by Gupta–Bansal

12. Match the following two lists:

List-I List-II

(A) The set (p) (−∞, −1) ∪ (1, ∞)

2iz
Re : z is a complex number, |z| = 1, z 6= ±1
1 − z 2
is
x−2
8(3)
(B) The domain of the function f(x) = sin −1 is (q) (−∞, 0) ∪ (0, ∞)
1 − 3 2(x−1)

1 tan θ 1

(C) If f(θ) = − tan θ 1 tan θ , then the set (r) [2, ∞)

−1 − tan θ 1

π
n o
f(θ) : 0 ≤ θ < is
2
(D) If f(x) = x 3/2 (3x − 10), x ≥ 0, then f(x) is increasing in (s) (−∞, −1] ∪ [1, ∞)
(t) (−∞, 0] ∪ [2, ∞)

(p) (q) (r) (s) (t)

(A) p q r s t

(B) p q r s t

(C) p q r s t

(D) p q r s t

[JEE 2011]