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

• Correct answer
  A

  Statement-I and Statement-II are both true
• B

  Statement-I is true, Statement-II is false
• C

  Statement-I is false, Statement-II is true
• D

  Statement-I and Statement-II are both false

Hence, the correct answer is option: 'A'.