JEE Main 2007 — Differential Equations Question with Solution
From: AIEEE 2007
Question
The differential equation of all circles passing through the origin and having their centres on the -axis is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
General equation of circles passing through origin
and having their centres on the -axis is
On differentiating we get
equation be
and having their centres on the -axis is
On differentiating we get
equation be
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This is a previous-year question from JEE Main 2007, 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.