JEE Main 2021 — Differential Equations Question with Solution
From: JEE Main 2021 (Online) 25th July Evening Shift
Question
Let a curve y = f(x) pass through the point (2, (loge2)2) and have slope for all positive real value of x. Then the value of f(e) is equal to ______________.
Enter your answer
Show full solutionCorrect answer: 1
Correct answer
1
Step-by-step explanation
put x = 2, y = (ln2)2
c = 0
y = (lnx)2
f(e) = 1
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 2021, 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.