JEE Main 2024 — Differential Equations Question with Solution
From: JEE Main 2024 (Online) 5th April Evening Shift
Question
The differential equation of the family of circles passing through the origin and having centre at the line is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Equation of circle passing through origin & having centre at the line is

Now differentiate
Now,
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This is a previous-year question from JEE Main 2024, covering the Differential Equations 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.