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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 26 June 2022, Shift 2, Maths Q1

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

Let f:R→Rf : \mathbb{R} \rightarrow \mathbb{R} be defined as f(x)=x−1f(x) = x - 1 and g:R−{1,−1}→Rg : \mathbb{R} - \{1, -1\} \rightarrow \mathbb{R} be defined as g(x)=x2x2−1g(x) = \frac{x^2}{x^2 - 1}. Then the function fogfog is :
  1. (1)one-one but not onto
  2. (2)onto but not one-one
  3. (3)both one-one and onto
  4. (4)neither one-one nor ontoOfficial answer

Official answer

Option 4

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
  1. 29 Jan 2024, Shift 1 · Q1If f(x)={2+2x,−1≤x<01−x3,0≤x≤3f(x)=\begin{cases}2+2x, & -1\leq x<0\\ 1-\frac{x}{3}, & 0\leq x\leq 3\end{cases} ;…MediumSingle correct
  2. 10 Apr 2023, Shift 1 · Q1If f(x)=(tan⁡1∘)x+log⁡e(123)xlog⁡e(1234)−(tan⁡1∘)f(x)=\frac{(\tan 1^\circ)x+\log_e(123)}{x\log_e(1234)-(\tan 1^\circ)}, x>0x>0, then the least value of…HardSingle 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.