The number of  $x \in  [0,2\pi ]$  for which $\left| {\sqrt {2\,{{\sin }^4}\,x\, + \,18\,{{\cos }^2}\,x}  - \,\sqrt {2\,{{\cos }^4}\,x\, + \,18\,{{\sin }^2}\,x} } \right| = 1$ is

  • [JEE MAIN 2016]
  • A

    $2$

  • B

    $6$

  • C

    $4$

  • D

    $8$

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  • [IIT 2020]

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