The equation \( a \sin x+\cos 2 x=2 a-7 \) possesses a solution if (A) \( a6 \) (B) \( a2 \) (C)...

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The equation \( a \sin x+\cos 2 x=2 a-7 \) possesses a solution if
(A) \( a6 \)
(B) \( a2 \)
(C) \( 2 \leq a \leq 6 \)
(D) None of these
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