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Let f: (-1, 1) ->B be a function defi...

Let `f: (-1, 1) ->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

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

B

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

C

`[0, (pi)/(2))`

D

`(0, (pi)/(2))`

Text Solution

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The correct Answer is:
A
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