The set of values of $‘a’$ for which the equation, $cos\, 2x + a\, sin\, x = 2a - 7$ possess a solution is :

  • A

    $(-\infty , 2)$

  • B

    $[2, 6]$

  • C

    $(6, \infty )$

  • D

    $(-\infty, \infty )$

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  • [IIT 1988]