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The number of all triplets (a1,a2,a3) su...

The number of all 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

A

zero

B

one

C

three

D

infinite

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