JEE Main 2022 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 29 July 2022, Shift 2, Maths Q4

Question 4 of 90 in this shift, Maths question 4 of 30, Section A.

Let the function

f(x)=\begin{cases}\dfrac{\log_e(1+5x)-\log_e(1+\alpha x)}{x} & ;\ if\ x\neq 0\\ 10 & ;\ if\ x=0\end{cases}

be continuous at

x=0

. Then

\alpha

is equal to

(1) $10$
(2) $-10$
(3) $5$
(4) $-5$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Continuity and Differentiability
Topic: Continuity and Differentiability
Idea tested: Finding Unknown Constants for Continuity

Same idea in other shifts

Asked 10× in all

8 Apr 2024, Shift 2 · Q9For $a, b > 0$ , let…HardSingle correct
9 Apr 2024, Shift 1 · Q24Let $f:(0,\pi)\to\mathbf{R}$ be a function given by…HardNumerical value
1 Feb 2024, Shift 1 · Q8Let $f:\mathbb{R}\to\mathbb{R}$ be defined as :…MediumSingle correct
26 Jul 2022, Shift 1 · Q7If the function…MediumSingle correct
26 Jul 2022, Shift 1 · Q8If $f(x) = \begin{cases} x + \mathrm{a}, & x \leq 0 \\ |x - 4|, & x > 0 \end{cases}$ and…MediumSingle correct
3 Aug 2021, Shift 2 · Q69If for non-zero distinct real numbers $a$ , $b$ and $c$ ,…MediumSingle correct
31 Aug 2021, Shift 1 · Q68If the function…MediumSingle correct
26 Feb 2021, Shift 2 · Q77Let $f : \mathbf{R} \to \mathbf{R}$ be defined as…MediumSingle correct

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.