JEE Main 2012 — Ellipse Question with Solution
JEE Main 2012 (26 May Online)
Question
The normal at to the ellipse, touches a parabola, whose equation is
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Ellipse is
Now, equation of normal at is
Let touches a parabola .
We know, a straight line touches a parabola if
Hence, required equation of parabola is
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This is a previous-year question from JEE Main 2012, covering the Ellipse chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.