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Question: Answered & Verified by Expert
The slope of the normal at the point $\left(a t^2, 2 a t\right)$ of the parabola $y^2=4 a x$, is
MathematicsParabolaJEE Main
Options:
  • A $\frac{1}{t}$
  • B $t$
  • C $-t$
  • D $-\frac{1}{t}$
Solution:
2113 Upvotes Verified Answer
The correct answer is: $-t$
Normal is $y-2 a t_1=\frac{-2 a t}{2 a}\left(x-a t^2\right)$
Therefore, slope $=-t$.

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