Let f:(-1,1) to B, be a function defined...

Let `f:(-1,1) to B`, be a function defined by `f(x) = tan^(-1)((2x)/(1-x^(2)))`, then f is both one-one and onto when B is the interval.

A

`(0, pi/2)`

B

`[0, pi/2)`

C

`[ - pi/2, pi/2]`

D

`( - pi/2, pi/2)`

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The correct Answer is:

D

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