JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 April 2025, Shift 2, Maths Q16

Question 16 of 75 in this shift, Maths question 16 of 25, Section A.

Let

f: \mathrm{R} \to \mathrm{R}

be a function defined by

f(x) = \left||x+2| - 2|x|\right|

. If

m

is the number of points of local minima and

n

is the number of points of local maxima of

f

, then

m + n

(1)5
(2)2
(3)3Official answer
(4)4

Official answer

Option 3

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Extrema at Non-Differentiable Points

Same topic in other shifts

All Maxima and Minima 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 42 of the 174 JEE Main shifts held from 2017 to 2026.