समुच्चय \(A=\{1,2,3\}\) पर संबंध \(R=\{(1,1),(2,2)\}\) प्रतिवर्ती क्यों नहीं है?

Why is the relation \(R=\{(1,1),(2,2)\}\) on \(A=\{1,2,3\}\) not reflexive?

Explanation opens after your attempt
Correct Answer

B. क्योंकि \((3,3)\notin R\)Because \((3,3)\notin R\)

Step 1

Concept

For reflexivity, \((a,a)\in R\) must hold for every \(a\in A\). Here ((3,3)) is missing.

Step 2

Why this answer is correct

The correct answer is B. क्योंकि \((3,3)\notin R\) / Because \((3,3)\notin R\). For reflexivity, \((a,a)\in R\) must hold for every \(a\in A\). Here ((3,3)) is missing.

Step 3

Exam Tip

प्रतिवर्ती होने के लिए हर \(a\in A\) पर \((a,a)\in R\) होना चाहिए। यहां ((3,3)) अनुपस्थित है।

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Mathematics Answer, Explanation and Revision Hints

समुच्चय \(A=\{1,2,3\}\) पर संबंध \(R=\{(1,1),(2,2)\}\) प्रतिवर्ती क्यों नहीं है? / Why is the relation \(R=\{(1,1),(2,2)\}\) on \(A=\{1,2,3\}\) not reflexive?

Correct Answer: B. क्योंकि \((3,3)\notin R\) / Because \((3,3)\notin R\). Explanation: प्रतिवर्ती होने के लिए हर \(a\in A\) पर \((a,a)\in R\) होना चाहिए। यहां ((3,3)) अनुपस्थित है। / For reflexivity, \((a,a)\in R\) must hold for every \(a\in A\). Here ((3,3)) is missing.

Which concept should I revise for this Mathematics MCQ?

For reflexivity, \((a,a)\in R\) must hold for every \(a\in A\). Here ((3,3)) is missing.

What exam hint can help solve this Mathematics question?

प्रतिवर्ती होने के लिए हर \(a\in A\) पर \((a,a)\in R\) होना चाहिए। यहां ((3,3)) अनुपस्थित है।