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Question: Answered & Verified by Expert
If the line $2 x+y+k=0$ is normal to the parabola $y^2=-8 x$, then the value of $k$ will be
MathematicsParabolaJEE Main
Options:
  • A $-16$
  • B $-8$
  • C $-24$
  • D $24$
Solution:
1085 Upvotes Verified Answer
The correct answer is: $24$
$y=-2 x-k$ is normal to $y^2=-8 x$
or $-k=-\left\{-4(-2)-2(-2)^3\right\}=-(8+16) \Rightarrow k=24$.

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