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JEE Main 2024 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 31 January 2024, Shift 2, Maths Q8

Question 8 of 90 in this shift, Maths question 8 of 30, Section A.

Consider the function

f:(0,\infty)\to\mathbb{R}

defined by

f(x)=e^{-|\log_e x|}

. If

m

and

n

be respectively the number of points at which

f

is **not** continuous and

f

is **not** differentiable, then

m+n

is

(1)0
(2)1Official answer
(3)2
(4)3

Official answer

Option 2

NTA final key.

Chapter: Continuity and Differentiability
Topic: Continuity and Differentiability
Idea tested: Differentiability of Modulus Functions

Same idea in other shifts

Asked 2× in all

4 Apr 2026, Shift 2 · Q22Let $f(x)=\begin{cases}e^{x-1}, & x<0\\ x^2-5x+6, & x\ge0\end{cases}$ and $g(x)=f(|x|)+|f(x)|$ . If the number of points where $g$ is not…MediumNumerical value

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.