JEE Main 2022 · MathsMultiple choiceSingle correctEasyConceptual

JEE Main 29 June 2022, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

Let a set

A = A_1 \cup A_2 \cup \ldots \cup A_k

, where

A_i \cap A_j = \phi

for

i \ne j

1 \le i, j \le k

. Define the relation R from A to A by

R = \{(x, y) : y \in A_i

if and only if

x \in A_i

1 \le i \le k\}

. Then, R is :

(1)reflexive, symmetric but not transitive
(2)reflexive, transitive but not symmetric
(3)reflexive but not symmetric and transitive
(4)an equivalence relationOfficial answer

Official answer

Option 4

NTA final key (2022 Session 1).

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

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Asked 5× 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 42 of the 174 JEE Main shifts held from 2017 to 2026.