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If 2x+y+lambda=0 is a normal to the para...

If `2x+y+lambda=0` is a normal to the parabola `y^2=-8x ,` then `lambda` is 12 (b) `-12` (c) 24 (d) `-24`

A

12

B

-12

C

24

D

-24

Text Solution

Verified by Experts

(3) y=mx+c is a normal to `y^(2)=4ax` if `c=-2am-am^(3)`,
`y=-2x-lamda` (Given normal)
`:." "m=-2,a=-2`
`or-lamda=-2an-am^(3)=-2(-2)(-2)-(-2)(-2)^(3)=-24`
`orlamda=24`
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