समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,2),(2,1)\}\) है। reflexive closure में कौन से pairs जोड़े जाएंगे?

On \(A=\{1,2,3\}\), \(R=\{(1,2),(2,1)\}\). Which pairs will be added in the reflexive closure?

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Correct Answer

A. ((1,1),(2,2),(3,3))

Step 1

Concept

In a reflexive closure, ((a,a)) must be present for every \(a\in A\). Therefore all three diagonal pairs are added.

Step 2

Why this answer is correct

The correct answer is A. ((1,1),(2,2),(3,3)). In a reflexive closure, ((a,a)) must be present for every \(a\in A\). Therefore all three diagonal pairs are added.

Step 3

Exam Tip

Reflexive closure में हर \(a\in A\) के लिए ((a,a)) होना जरूरी है। इसलिए तीनों diagonal pairs जोड़े जाएंगे।

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Mathematics Answer, Explanation and Revision Hints

समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,2),(2,1)\}\) है। reflexive closure में कौन से pairs जोड़े जाएंगे? / On \(A=\{1,2,3\}\), \(R=\{(1,2),(2,1)\}\). Which pairs will be added in the reflexive closure?

Correct Answer: A. ((1,1),(2,2),(3,3)). Explanation: Reflexive closure में हर \(a\in A\) के लिए ((a,a)) होना जरूरी है। इसलिए तीनों diagonal pairs जोड़े जाएंगे। / In a reflexive closure, ((a,a)) must be present for every \(a\in A\). Therefore all three diagonal pairs are added.

Which concept should I revise for this Mathematics MCQ?

In a reflexive closure, ((a,a)) must be present for every \(a\in A\). Therefore all three diagonal pairs are added.

What exam hint can help solve this Mathematics question?

Reflexive closure में हर \(a\in A\) के लिए ((a,a)) होना जरूरी है। इसलिए तीनों diagonal pairs जोड़े जाएंगे।