JEE Main 2024MathematicsCircleChord With A Given Middle PointmediumMCQ

JEE Main 2024Circle Question with Solution

From: JEE Main 2024 (Online) 1st February Evening Shift

Question

Let the locus of the midpoints of the chords of the circle drawn from the origin intersect the line at and . Then, the length of is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

Let mid-point is



It is passing through origin



............ (1)

It intersects the line

So put in equation (1)





So,

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About this question

This is a previous-year question from JEE Main 2024, 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.