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In a triangle ABC, medians AD and BE are...

In a triangle ABC, medians AD and BE are deawn. IF `AD= 4, angle D AB=(pi)/(6) and angle ABE=(pi)/(3),` then the area of the trianlge ABC is-

A

`(32)/(3sqrt3)`

B

`(32)/(3)`

C

`(64)/(3)`

D

`(64)/(3sqrt3)`

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The correct Answer is:
A
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