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The number of all the possible triplets ...

The number of all the possible triplets `(a_(1), a_(2), a_(3))` such that `a_(1) + a_(2) cos (2 x) + a_(3) sin^(2) (x)=0 ` for all x is

A

0

B

1

C

3

D

infinite

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The correct Answer is:
C
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