If sin^(-1)((2a)/(1+a^(2))) + cos^(-1)((...

If `sin^(-1)((2a)/(1+a^(2))) + cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1)((2x)/(1-x^(2)))`, where `a, x in]0,1[`, then the value of x is

A

0

B

`a/2`

C

a

D

`(2a)/(1-a^(2))`

Verified by Experts

The correct Answer is:

D

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