JEE Main 2023 — Ellipse Question with Solution
From: JEE Main 2023 (Online) 11th April Morning Shift
Question
Consider ellipses . Let be the circle which touches the four chords joining the end points (one on minor axis and another on major axis) of the ellipse . If is the radius of the circle , then the value of \sum_\limits{k=1}^{20} \frac{1}{r_{k}^{2}} is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D3080
Step-by-step explanation
We have,
Equation of is
or
is the radius of circle ,
So, perpendicular distance from to
Equation of is
or
is the radius of circle ,
So, perpendicular distance from to
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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.