JEE Main 2025 · MathsMultiple choiceSingle correctEasyConceptual

JEE Main 2 April 2025, Shift 1, Maths Q12

Question 12 of 75 in this shift, Maths question 12 of 25, Section A.

Let A be the set of all functions

f:\mathbf{Z}\to\mathbf{Z}

and R be a relation on A such that

R=\{(f, g): f(0)=g(1)\text{ and }f(1)=g(0)\}

. Then R is :

(1)Reflexive but neither symmetric nor transitive
(2)Symmetric but neither reflective nor transitiveOfficial answer
(3)Transitive but neither reflexive nor symmetric
(4)Symmetric and transitive but not reflective

Official answer

Option 2

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Equivalence Relations

Same idea in other shifts

Asked 5× in all

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16 Mar 2021, Shift 2 · Q71Let $A=\{2,3,4,5,\ldots,30\}$ and ' $\simeq$ ' be an equivalence relation on $A\times A$ , defined by $(a,b)\simeq(c,d)$ , if and only if…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 42 of the 174 JEE Main shifts held from 2017 to 2026.