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If A and B are positive acute angles sat...

If A and B are positive acute angles satisfying the equalities `3 cos^(2) A + 2 cos^(2) B = 4` and `( 3 sin A )/( sin B ) = ( 2 cos B )/( cos A)`, then `A + 2B` is equal to

A

`pi//4`

B

`pi//3`

C

`pi//6`

D

`pi//2`

Text Solution

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The correct Answer is:
D
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