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

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

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The correct Answer is:
D
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