Learn

Friday, 9 October

JEE Main 2025 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 2 April 2025, Shift 1, Maths Q24

Question 24 of 75 in this shift, Maths question 24 of 25, Section B.

Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a thrice differentiable odd function satisfying f′(x)≥0f'(x)\ge0, f′′(x)=f(x)f''(x)=f(x), f(0)=0f(0)=0, f′(0)=3f'(0)=3. Then 9f(log⁡e3)9f(\log_e3) is equal to ___________.

Official answer

36

NTA final key.

Chapter
Differential Equations
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.