Statement $-1:$ The number of common solutions of the trigonometric equations $2\,sin^2\,\theta - cos\,2\theta  = 0$ and $2 \,cos^2\,\theta - 3\,sin\,\theta  = 0$ in the interval $[0, 2\pi ]$ is two.

Statement $-2:$ The number of solutions of the equation, $2\,cos^2\,\theta  - 3\,sin\,\theta  = 0$ in the interval $[0, \pi ]$ is two.

  • [JEE MAIN 2013]
  • A

    Statement $-1$ is true; Statement $-2$ is true;Statement $-2$ is a correct explanation for statement $-1.$

  • B

    Statement $-1$ is true; Statement $-2$ is true;Statement $-2$ is not a correct explanation for statement $-1.$

  • C

    Statement $-1$ is false; Statement $-2$ is true.

  • D

    Statement $-1$ is true; Statement $-2$ is false.

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