Class 12 Mathematics - Relations and Functions - Binary operations Medium Quiz

Mathematics Relations and Functions Binary operations Medium Class 12 Level 8

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Question 1/1 Medium Mathematics Relations and Functions Reflexive relation Class 12 Level 8

\(A=\{a,b,c\}\) पर \(R=\{(a,a),(b,b),(c,c),(a,b)\}\) और \(S=\{(a,a),(b,c),(c,c)\}\) हैं। \(R\cap S\) के बारे में सही कथन क्या है?

On \(A=\{a,b,c\}\), \(R=\{(a,a),(b,b),(c,c),(a,b)\}\) and \(S=\{(a,a),(b,c),(c,c)\}\). What is correct about \(R\cap S\)?

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Correct Answer

B. यह स्वतुल्य नहीं हैIt is not reflexive

Step 1

Concept

\(R\cap S\) contains only pairs common to both relations.

Step 2

Why this answer is correct

The common self-pairs are ((a,a)) and ((c,c)), but ((b,b)) is missing.

Step 3

Exam Tip

Missing one self-pair makes the relation not reflexive. चरण 1: \(R\cap S\) में केवल वे युग्म होंगे जो दोनों में समान हैं। चरण 2: समान युग्म ((a,a)) और ((c,c)) हैं, लेकिन ((b,b)) नहीं है। चरण 3: एक अपने-आप वाला युग्म छूटने से सम्बन्ध स्वतुल्य नहीं रहता।

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