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

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

A

(0,0)

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A,B,D
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Knowledge Check

  • The equations of the tangents to the circle x^2 + y^2 = 25 which are inclined at an angle of 30^@ to the x- axis are

    A
    `y = x sqrt 3 +- 5`
    B
    `sqrt 3 y = x +- 10`
    C
    `+-sqrt 3 y = x + 10`
    D
    None of these

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