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Question: Answered & Verified by Expert
If the normals at two points $P$ and $Q$ of a parabola $y^2=4 a x$ intersect at a third point $R$ on the curve, then the product of ordinates of $P$ and $Q$ is
MathematicsParabolaJEE Main
Options:
  • A $4 a^2$
  • B $2 a^2$
  • C $-4 a^2$
  • D $8 a^2$
Solution:
2077 Upvotes Verified Answer
The correct answer is: $8 a^2$
As we know, $t_1 \times t_2=2 \Rightarrow 2 a t_1 \times 2 a t_2=8 a^2$

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