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

Let `alpha, beta` be two distinct roots of `a cos theta+b sin theta =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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