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JEE Math Practice Question

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 :

  1. A.2
  2. B.4
  3. C.6
  4. D.8

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