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The equation of a tangent to the para...

The equation of a tangent to the parabola `y^2=""8x""` is ` ""y""=""x""+""2` . The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

A

`(-1,1)`

B

`(0,2)`

C

`(2,4)`

D

`(-2,0)`

Text Solution

Verified by Experts

The correct Answer is:
D
`y^2=8x`
`2yy'=8`
`y'=4/y`
`y=x+2`
`m=1`
if 2 lines are` |`
`m_1*m_2=-1`
`m_2=-1=4/y`
...
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Knowledge Check

  • Equation of tangent to the parabola y^(2)=16x at P(3,6) is

    A
    `4x-3y+12=0`
    B
    `3y-4x-12=0`
    C
    `4x-3y-24=0`
    D
    `3y-x-24=0`

  • The equation of tangent at the vertex of parabola x^(2)+8x+4=0 is

    A
    `x=-4`
    B
    `y=8`
    C
    `y=4`
    D
    `y=-8`

  • The line y = mx + 1 is a tangent to the parabola y^2 = 4x

    A
    `m=1 `
    B
    `m=2`
    C
    `m=4`
    D
    ` m=3 `