JEE Main 2023 — Ellipse Question with Solution
From: JEE Main 2023 (Online) 6th April Evening Shift
Question
In a group of 100 persons 75 speak English and 40 speak Hindi. Each person speaks at least one of the two languages. If the number of persons, who speak only English is and the number of persons who speak only Hindi is , then the eccentricity of the ellipse is :
Choose an option
Show full solutionCorrect option: C
Step-by-step explanation
and be the person speak Hindi
Let number of persons who speak both English and Hindi are .
From Equations (i) and (ii),
From Equations (i) and (iii), and from Eq. (i),
We have, equation of ellipse
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This is a previous-year question from JEE Main 2023, 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.