JEE Main 2026 — Differential Equations Question with Solution
JEE Main 2026 (23 January Shift 1)
Question
Let be a twice differentiable non-negative function such that . Then the mean of is equal to .
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Show full solutionCorrect answer: 1565
Correct answer
1565
Step-by-step explanation
Differentiating :
.
. At : (non-negative), so .
for .
Mean .
.
. At : (non-negative), so .
for .
Mean .
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This is a previous-year question from JEE Main 2026, 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.