Question

Let $g: R \rightarrow\left[\frac{\pi}{6}, \frac{\pi}{2}\right)$ is defined by $g(x)=\sin ^{-1}\left(\frac{x^2-c}{1+x^2}\right)$. Then the possible values of ' $c$ ' for which $g$ is surjective function, is

• A. $\left\{\frac{1}{2}\right\}$
• B. $\left(-1,-\frac{1}{2}\right]$
• C. $\left\{-\frac{1}{2}\right\}$
• D. $\left(-\frac{1}{2}, 1\right]$

Answer 1

Answer: (B)

Correct answer is (b) $\left(-1,-\frac{1}{2}\right]$