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

Text Solution

Verified by Experts

The correct Answer is:
D
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