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The equation of the chord of contact of...

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`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The polar of (-2,3) w.r.t. the hyperbola 4x^(2) -3y^(2) =12 is

    A
    ` 8x +3y -4=0`
    B
    ` 8x + 9y +12=0 `
    C
    ` 9x+ 8y -6=0`
    D
    ` 8x+ 9y+7=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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