$2{\sin ^2}x + {\sin ^2}2x = 2,\, - \pi < x < \pi ,$ then $x = $

  • A

    $ \pm \frac{\pi }{6}$

  • B

    $ \pm \frac{\pi }{4}$

  • C

    $\frac{{3\pi }}{2}$

  • D

    None of these

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