JEE Main 2022MathematicsDifferential EquationsFormation Of Differential EquationsmediumMCQ

JEE Main 2022Differential Equations Question with Solution

From: JEE Main 2022 (Online) 25th July Evening Shift

Question

Let a smooth curve be such that the slope of the tangent at any point on it is directly proportional to . If the curve passes through the points and , then is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B4

Step-by-step explanation

If the above equation satisfy (1, 2) and (8, 1)

So, at

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.