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A and B are positive acute angles satisf...

A and B are positive acute angles satisfying the equations
`3cos^(2)A+2cos^(2)B=4and (3sinA)/(sinB)=(2cosB)/(cosA), then A+2B` is equal to

A

`pi//4`

B

`pi//3`

C

`pi//6`

D

`pi//2`

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The correct Answer is:
D
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