JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 10 April 2023, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let

f:(-2,2)\to\mathbb{R}

be defined by

f(x)=\begin{cases}x[x], & -2<x<0\\ (x-1)[x], & 0\le x<2\end{cases}

where

[x]

denotes the greatest integer function. If

m

and

n

respectively are the number of points in

(-2,2)

at which

y=|f(x)|

is not continuous and not differentiable, then

m+n

is equal to ____________.

Official answer

NTA final key.

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

Same idea in other shifts

Asked 9× in all

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4 Aug 2021, Shift 1 · Q89The number of points in $(0, 2\pi)$ , where the function $f:\mathbb{R}\to\mathbb{R}$ given by $f(x)=|\sin x|+|\cos x|$ is NOT…MediumNumerical value
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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.