The number of solutions of $\sin ^2 \mathrm{x}+\left(2+2 \mathrm{x}-\mathrm{x}^2\right) \sin \mathrm{x}-3(\mathrm{x}-1)^2=0$, where $-\pi \leq \mathrm{x} \leq \pi$, is....................

  • [JEE MAIN 2024]
  • A

    $6$

  • B

    $7$

  • C

    $2$

  • D

    $4$

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