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The condition that the pair of tangents ...

The condition that the pair of tangents drawn from the origin to the circle `x^(2)+y^(2)+2gx+2fy+c=0` may be at right angles is

A

`g^2+f^2+c=0`

B

`g^2+f^2+c=c`

C

`g^2+f^2=2c`

D

`2(g^2+f^2)=c`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The equation of the tangents drawn from the origin to the circle x^(2)+y^(2)-2gx-2fy+f^(2)=0 is

    A
    `x=0, (f^(2)-g^(2))x-2fgy=0`
    B
    `x=1, (f^(2)+2g^(2))x+2fgy=0`
    C
    `x=2, (2f^(2)+3g^(2))x+2fgy=0`
    D
    `x=5, (3f^(2)+5g^(2))x+2fgy=0`
    • DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1C(Pole, Polar)
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