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The equation of the chord of contact of ...

The equation of the chord of contact of the point (1, -2) w.r.t the ellipse `4x^(2)+5y^(2)=20` is

A

`x+16y-12=0`

B

`2x-5y-10=0`

C

`5x+7y-16=0`

D

`x-15y-20=0`

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Knowledge Check

  • The equation of the chord of contact of the point (3,-2) w.r.t. the hyperbola 2x^(2) -3y^(2) =12 is

    A
    ` x+y-2=0 `
    B
    ` x+y + 2=0`
    C
    ` x-y-2=0`
    D
    `x+y-3=0`

  • The equation of the chord of contact of the point (4,2) with respect to the circle x^(2)+y^(2)-5x+4y-3=0 is

    A
    `5x-3y-25=0`
    B
    8x-2y-11=0
    C
    3x+8y-18=0
    D
    x-14y-6=0

  • The condition that the chord of contact of the point (b,c) w.r.t. to the circle x^(2)+y^(2)=a^(2) should substend a right angled at the centre is

    A
    `b^(2)+c^(2)=a^(2)`
    B
    `b^(2)+c^(2)=2a^(2)`
    C
    `b^(2)+c^(2)=3a^(2)`
    D
    `2b^(2)+2c^(2)=a^(2)`

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