Question

Match List-I with List-II: 

List-I		List-II
(A)	Domain of \(f(x)=\dfrac{1}{\sqrt{x^2-1}}\)	(II)	\((-\infty,-1)\cup(1,\infty)\)
(B)	Range of \(f(x)=\dfrac{1}{\sqrt{x^2-1}}\)	(III)	\((0,\infty)\)
(C)	Domain of \(f(x)=\sqrt{x-2}\)	(I)	\([2,\infty)\)
(D)	Range of \(f(x)=\sqrt{x-2}\)	(IV)	\([0,\infty)\)

• A. A-II, B-III, C-I, D-IV
• B. A-III, B-II, C-I, D-IV
• C. A-III, B-II, C-IV, D-I
• D. A-II, B-III, C-IV, D-I

Hint:

For \(\sqrt{g(x)}\), use \(g(x)\geq0\). For \(\frac{1}{\sqrt{g(x)}}\), use \(g(x)>0\).

Answer 1

The Correct Option is A