JEE Main 2024 — Ellipse Question with Solution
From: JEE Main 2024 (Online) 5th April Morning Shift
Question
Let the line , intersect the -axis and -axis at the points and , respectively. If the equation of the circle having the line segment as a diameter is and the length of the latus rectum of the ellipse is , where and are coprime, then is equal to
Choose an option
Show full solutionCorrect option: C
Step-by-step explanation
Equation of circle with as diameter
Comparing,
Latus rectum of ellipse
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This is a previous-year question from JEE Main 2024, 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.