JEE Main 2022MathematicsDifferential EquationsFormation Of Differential EquationsmediumMCQ

JEE Main 2022Differential Equations Question with Solution

From: JEE Main 2022 (Online) 28th July Evening Shift

Question

The differential equation of the family of circles passing through the points and is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A

Step-by-step explanation

Family of circles passing through the points (0, 2) and (0, 2)

...... (1)

Differentiate w.r.t x

....... (2)

Using (1) and (2), eliminate

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Differential Equations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2022, 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.