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The number of all possible 5-tuples alph...

The number of all possible 5-tuples `alpha, alpha_(2), alpha_(3), alpha_(4), alpha_(5)` such that `alpha_(1) + alpha_(2) sinx + alpha_(3) cosx + alpha_(4) sin2x + alpha_(5) cos2x = 0` holds for all x is :

A

1

B

2

C

0

D

infinite.

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The correct Answer is:
A
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