Range of ${\sin ^{ - 1\,}}\left( {\frac{{1 + {x^2}}}{{2 + {x^2}}}} \right)$ is 

  • A

    $\left[ { - \frac{\pi }{6},\frac{\pi }{6}} \right]$

  • B

    $\left[ {0,\frac{\pi }{2}} \right)$

  • C

    $\left[ { - \frac{\pi }{2},\frac{\pi }{2}} \right]$

  • D

    $\left[ {  \frac{\pi }{6},\frac{\pi }{2}} \right]$

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