JEE Main 2020 — Ellipse Question with Solution
From: JEE Main 2020 (Online) 6th September Evening Slot
Question
If the normal at an end of a latus rectum of an
ellipse passes through an extremity of the
minor axis, then the eccentricity e of the ellipse
satisfies :
Choose an option
Show full solutionCorrect option: B
Correct answer
Be4 + e2 – 1 = 0
Step-by-step explanation
Equation of normal at
It passes through (0,–b)
b =
b = [as b2 = ]
2b2 =
= e4
= e4
e4 + e2 – 1 = 0
It passes through (0,–b)
b =
b = [as b2 = ]
2b2 =
= e4
= e4
e4 + e2 – 1 = 0
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This is a previous-year question from JEE Main 2020, 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.