Question

Statement-I : Range of $\cos \left({\sec }^{-1}\frac{1}{x}+{\mathrm{cosec}}^{-1}\frac{1}{x}+{\tan }^{-1}x\right)$ is $\left[-\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}\right]$ Because
Statement-II : Range of ${\sin }^{-1}x+{\tan }^{-1}x+{\cos }^{-1}x$ is $\left[\frac{\pi }{4},\frac{3\pi }{4}\right]$.

• A. Statement-I is true, Statement-II is true; Statement-II is correct explanation for Statement-I.
• B. Statement-I is true, Statement-II is true; Statement-II is NOT a correct explanation for statement-I.
• C. Statement-I is true, Statement-II is false.
• D. Statement-I is false, Statement-II is true.

Answer 1

Answer: (D)

Correct answer is (d) Statement-I is false, Statement-II is true.