If sin^(-1)(2xsqrt(1-x^(2)))-2 sin^(-1) ...

If `sin^(-1)(2xsqrt(1-x^(2)))-2 sin^(-1) x=0` then x belongs to the interval

A

[-1 , 1]

B

`[-(1)/(sqrt(2)), 1]`

C

`[-(1)/(sqrt(2)), (1)/(sqrt(2))]`

D

None of these

Verified by Experts

The correct Answer is:

C

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