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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))) = 2 tan^(-1) x`, then x is equal to `[a, b in (0, 1)]`

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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