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If x+(1)/(x)=2, the principal value of s...

If `x+(1)/(x)=2`, the principal value of `sin^(-1)x` is

A

` a in (-infty,1)cup[2,infty)` and `b in (-infty,0)cup[1,infty)`

B

`a in (1,3/2)` and `b in (0,1/2)`

C

`a in (1,3/2)` and `b in (0,1/2)`

D

`a in (1,5/4)` and `b in (1/3,1/2)`

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The correct Answer is:
b
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