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

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

A

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

B

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

C

(c) `(b)/(1-ab)`

D

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

Verified by Experts

The correct Answer is:

D

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