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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

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