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Friday, 9 October

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JEE Main 2026 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 April 2026, Shift 1, Maths Q17

Question 17 of 75 in this shift, Maths question 17 of 25, Section A.

Let

f

be a real polynomial of degree

n

such that

f(x)=f'(x)f''(x)

, for all

x\in\mathbb{R}

. If

f(0)=0

, then

36\left(f'(2)+f''(2)+\int_0^2 f(x)\,dx\right)

is equal to:

(1) $42$
(2) $46$
(3) $56$ Official answer
(4) $66$

Official answer

Option 3

NTA final key.

Chapter: Continuity and Differentiability
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.