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If A gt 0, B gt 0 and A+B=(pi)/(3), then...

If `A gt 0, B gt 0` and `A+B=(pi)/(3)`, then the maximum value of `tan A tan B` is

A

`(1)/(sqrt(3))`

B

`(1)/(3)`

C

`(1)/(2)`

D

`sqrt(3)`

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The correct Answer is:
B
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