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

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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),1sqrt(2)]`
C. `[-1,-1//sqrt(2)]`
D. `[1//sqrt(2),1]`
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Correct Answer - B
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