JEE Main 2009MathematicsEllipseQuestion Based On Basic Definition And Parametric RepresentationmediumMCQ

JEE Main 2009 — Ellipse Question with Solution

From: AIEEE 2009

Question

The ellipse is inscribed in a rectangle aligned with the coordinate axex, which in turn is inscribed in another ellipse that passes through the point . Then the equation of the ellipse is :

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Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

AIEEE 2009 Mathematics - Ellipse Question 98 English Explanation

The given ellipse is

So and

If is the rectangular in which it is inscribed, then



Let

be the ellipse circumscribing the rectangular .

Then it passes through



Also, given that, it passes through



substituting in

The required ellipse is

or

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About this question

This is a previous-year question from JEE Main 2009, 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.