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

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

A

`pi/3`

B

`pi/2`

C

`pi/6`

D

`pi/4`

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