JEE Main 2024 · MathsMultiple choiceSingle correctMediumConceptual

JEE Main 1 February 2024, Shift 2, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Consider the relations

R_1

and

R_2

defined as

aR_1b \Leftrightarrow a^2+b^2=1

for all

a, b\in\mathbf{R}

and

(a,b)R_2(c,d)\Leftrightarrow a+d=b+c

for all

(a,b),(c,d)\in\mathbf{N}\times\mathbf{N}

. Then

(1)Only $R_1$ is an equivalence relation
(2)Only $R_2$ is an equivalence relationOfficial answer
(3) $R_1$ and $R_2$ both are equivalence relations
(4)Neither $R_1$ nor $R_2$ is an equivalence relation

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 10× in all

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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.