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Let alpha, beta be two distinct roots of...

Let `alpha, beta` be two distinct roots of `acostheta+bsintheta=c`, where a, b and c are three real constants and `theta in `[0, 2pi]`. Then `alpha+beta` is also a root of the same equation if

A

a+b=c

B

b+c=a

C

c+a=b

D

c=a

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The correct Answer is:
D
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