JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 7 April 2025, Shift 1, Maths Q17

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

Let

x = -1

and

x = 2

be the critical points of the function

f(x) = x^3 + ax^2 + b\log_e|x| + 1

x \neq 0

. Let

m

and

M

respectively be the absolute minimum and the absolute maximum values of

f

in the interval

\left[-2, -\frac{1}{2}\right]

. Then

|M + m|

is equal to (Take

\log_e 2 = 0.7

) :

(1) $19.8$
(2) $20.9$
(3) $21.1$ Official answer
(4) $22.1$

Official answer

Option 3

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Closed Interval Extrema

Same idea in other shifts

Asked 5× in all

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