Let tan^(-1)y = tan^(-1)x+tan^(-1)((2x)/...

Let `tan^(-1)y = tan^(-1)x+tan^(-1)((2x)/(1-x^2))`, where `|x| le 1/sqrt3` . Then the value of y is

A

`(3x-x^3)/(1-3x^2)`

B

`(3x+x^3)/(1-3x^2)`

C

`(3x-x^3)/(1+3x^2)`

D

`(3x+x^3)/(1+3x^2)`

Verified by Experts

The correct Answer is:

A

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