JEE Main 2023 — Circle Question with Solution
From: JEE Main 2023 (Online) 10th April Morning Shift
Question
A line segment AB of length moves such that the points A and B remain on the periphery of a circle of radius . Then the locus of the point, that divides the line segment AB in the ratio 2 : 3, is a circle of radius :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given, length of
So, and
Now, from , we get
So, radius is .
So, and
Now, from , we get
So, radius is .
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This is a previous-year question from JEE Main 2023, covering the Circle 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.