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

If `sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))= 2 tan^(-1)x` , then x is equal to

A

`(a-b)/(1+ab)`

B

`b/(1+ab)`

C

`b/(1-ab)`

D

`(a+b)/(1-ab)`

Verified by Experts

The correct Answer is:

D

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