JEE Main 2023 — Circle Question with Solution
From: JEE Main 2023 (Online) 10th April Evening Shift
Question
Let A be the point and B be any point on the curve . If the centre of the locus of the point P, which divides the line segment in the ratio is the point C, then the length of the line segment is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
We have, equation of circle is
Let any point on the circle is and
Let be which divides in
So
and
As,
Locus of point is
which is equation of circle with centre
Hence,
Let any point on the circle is and
Let be which divides in
So
and
As,
Locus of point is
which is equation of circle with centre
Hence,
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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.