JEE Main 2022MathematicsEllipseQuestion Based On Basic Definition And Parametric RepresentationmediumMCQ

JEE Main 2022 — Ellipse Question with Solution

From: JEE Main 2022 (Online) 24th June Evening Shift

Question

Let the maximum area of the triangle that can be inscribed in the ellipse , having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel to the y-axis, be . Then the eccentricity of the ellipse is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

Given ellipse

JEE Main 2022 (Online) 24th June Evening Shift Mathematics - Ellipse Question 46 English Explanation

Let A() be the area of ABB'

Then

For maxima

But for maximum area

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About this question

This is a previous-year question from JEE Main 2022, 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.