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If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)...

If `tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6)` then prove that `x^(2) = 2sqrt(3)a^(2)`

A

`2sqrt(3a)`

B

`sqrt(3a)`

C

`2sqrt(3)a^(2)`

D

`sqrt(3)a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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