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Points on the curve f(x)=x/(1-x^2) where...

Points on the curve `f(x)=x/(1-x^2)` where the tangent is inclined at an angle of `pi/4` to the x-axis are (a)(0,0) (b) `(sqrt(3),-(sqrt(3))/2)` `(-2,2/3)` (d) `(-sqrt(3),(sqrt(3))/2)`

A

`(0,0)`

B

`(sqrt(3),-(sqrt3)/(2))`

C

`(-2,(2)/(3))`

D

`(sqrt3,-(sqrt3)/(2))`

Text Solution

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The correct Answer is:
A, B, D
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