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The equation to the line touching both t...

The equation to the line touching both the parabolas `y^2 =4x` and `x^2=-32y` is

A

`x+2y+4=0`

B

`x-2y+4=0`

C

`x+y-4=0`

D

`x-y+4=0`

Text Solution

Verified by Experts

The correct Answer is:
B
`y=mx+(1)/(m)` . . (1)
`y=mx+8m^(2)` . . (2)
`(1)/(m)=8m^(2) implies m=(1)/(2)`.
Put `m=(1)/(2)` in (1) `implies y=(1)/(2)x+2`.
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