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

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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