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Find the equation of chord of contact of...

Find the equation of chord of contact of A(2,3) w.r.t to parabola `y^(2) = `4x. Find the points where chord of-contact meets the parabola using these find the equations of tangents passing through A to the given parabola

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The correct Answer is:
2x-3y + 4 = 0: (1 ,2), (4,4), x-y + 1= 0, x- 2y + 4 = 0
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The chord of contact of (2,1) w.r.t to the circle x^(2)+y^(2)+4x+4y+1=0 is

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Knowledge Check

  • The chord of contact of (2,1) w.r.t the parabola x^(2) = y is

    A
    x+4y+3=0
    B
    2x-3y+4=0
    C
    3x+2y+4=0
    D
    4x-y-1=0

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

    A
    2x-3y-4=0
    B
    2x-y-2=0
    C
    3x-y+4=0
    D
    5x-4y+24=0

  • 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`

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