JEE Main 2012 — Ellipse Question with Solution
JEE Main 2012 (12 May Online)
Question
If and are two points on the ellipse at which the tangents are parallel to the chord joining the points and , then the distance between and is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Any tangent on an ellipse is given by
Here
So,
For ellipse :
We put
If and
Points are
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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.