The number of all possible triplets $(a_1 , a_2 , a_3)$ such that $a_1+ a_2 \,cos \, 2x + a_3 \, sin^2 x = 0$ for all $x$ is

  • A

    $0$

  • B

    $1$

  • C

    $3$

  • D

    infinite

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  • [JEE MAIN 2023]