JEE Main 2023 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 10 April 2023, Shift 1, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

f(x)=\frac{(\tan 1^\circ)x+\log_e(123)}{x\log_e(1234)-(\tan 1^\circ)}

x>0

, then the least value of

f(f(x))+f\left(f\left(\frac{4}{x}\right)\right)

(1) $0$
(2) $2$
(3) $4$ Official answer
(4) $8$

Official answer

Option 3

NTA final key.

Chapter: Relations and Functions
Topic: Functions and Domain
Idea tested: Range of Composite Functions

Same idea in other shifts

Asked 3× in all

29 Jan 2024, Shift 1 · Q1If $f(x)=\begin{cases}2+2x, & -1\leq x<0\\ 1-\frac{x}{3}, & 0\leq x\leq 3\end{cases}$ ;…MediumSingle correct
26 Jun 2022, Shift 2 · Q1Let $f : \mathbb{R} \rightarrow \mathbb{R}$ be defined as $f(x) = x - 1$ and $g : \mathbb{R} - \{1, -1\} \rightarrow \mathbb{R}$ be…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.