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Find the condition that the tangents d...

Find the condition that the tangents
drawn from `(0, 0)` to `S -= x^(2) + y^(2) + 2 gx + 2fy + c = 0` be perpendicular to each lt brgt other.

Text Solution

Verified by Experts

The correct Answer is:
`g^(2) + f^(2) = 2c`
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Find the conditions that the tangents drawn from the exteriorpoint (g,f) to S= x^(2) + y ^(2) + 2gx + 2fy + c=0 are perpendicular to each other.

Find the conditions that the tangents drawn from the exteriorpoint (g,f) to S= x^(2) + y ^(2) + 2gx + 2fy + c=0 are perpendicular to each other.

Knowledge Check

  • If the tangents drawn from a point P to the ellipse 4x^(2) + 9 y^(2) - 24x + 36 y = 0 are perpendicular, then the locus of P is

    A
    `x^(2) + y^(2) - 6x + 4y +13= 0`
    B
    `x^(2) + y^(2) - 6x + 4y -13= 0`
    C
    `x^(2) + y^(2)+ 6x - 4y -13= 0`
    D
    `x^(2) + y^(2) = 26`

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