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Find the equation of the chord of the pa...

Find the equation of the chord of the parabola `y^(2)=8x` having slope 2 if midpoint of the chord lies on the line x=4.

Text Solution

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Let `M(4,y_(1))` be midpoint of the chord. So, equation of chord using equation `T=S_(1)` is
`yy_(1)-4(x+4)=y_(1)^(2)-8xx4`
`or" "yy_(1)-4x=y_(1)^(2)-16`
Slope `=(4)/(y_(1))=2` (Given)
`:." "y_(1)=2`
So, equation of the chord is
2y-4x=-12
y=2x-6
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Knowledge Check

  • The equation of the directrix of the parabola y^(2)=-8x is

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

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