For the curve defined as y=cosec^(-1)((1...

For the curve defined as `y=cosec^(-1)((1+x^2)/(2x))+sec^(-1)((1+x^2)/(1-x^2))` the set of points at which the tangent is parallel to the x axis

A

[0,1]

B

(0,1)

C

`(-1,0) cup (1,oo)`

D

None of these

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The correct Answer is:

C

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