If tan^(-1)x+2cot^(-1)x=(2pi)/(3) then x...

If `tan^(-1)x+2cot^(-1)x=(2pi)/(3)` then `x =`

A

(a) `sqrt(2)`

B

(b) 3

C

(c) `sqrt(3)`

D

(d) `(sqrt(3)-1)/(sqrt(3)+1)`

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The correct Answer is:

C

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