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JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 13 April 2023, Shift 2, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

Let

A=\{-4,-3,-2,0,1,3,4\}

and

R=\{(a,b)\in A\times A: b=|a| \text{ or } b^2=a+1\}

be a relation on A. Then the minimum number of elements, that must be added to the relation R so that it becomes reflexive and symmetric, is ______

Official answer

7

NTA final key.

Chapter: Relations and Functions
Topic: Sets and Relations
Idea tested: Counting Reflexive and Symmetric Relations

Same idea in other shifts

Asked 2× in all

3 Apr 2025, Shift 2 · Q1Let $A = \{-2, -1, 0, 1, 2, 3\}$ . Let R be a relation on $A$ defined by $xRy$ if and only if $y = \max\{x, 1\}$ . Let $l$ be the number of…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.