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JEE Math Practice Question

The sum of all values of $\theta \in[0,2 \pi]$ satisfying $2 \sin ^2 \theta=\cos 2 \theta$ and $2 \cos ^2 \theta=3 \sin \theta$ is

  1. A.$\pi$
  2. B.$\frac{5 \pi}{6}$
  3. C.$\frac{\pi}{2}$
  4. D.$4 \pi$

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