JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2026, Shift 2, Maths Q20

Question 20 of 75 in this shift, Maths question 20 of 25, Section A.

Let

f(x)

and

g(x)

be twice differentiable functions satisfying

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

for all

x \in \mathbf{R}

f'(1)=2g'(1)=4

and

g(2)=3f(2)=9

. Then

f(25)-g(25)

is equal to :

(1) $20$
(2) $40$ Official answer
(3) $-20$
(4) $-40$

Official answer

Option 2

NTA final key.

Chapter: Continuity and Differentiability
Topic: Mean Value Theorem
Idea tested: Zero Derivative Implies Constant Function

Same topic in other shifts

All Mean Value Theorem questions

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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 108 of the 174 JEE Main shifts held from 2017 to 2026.