\(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2)\}\) है। कौन सा property गलत है?

On \(A=\{1,2,3\}\), \(R=\{(1,1),(2,2),(3,3),(1,2)\}\). Which property is false?

Explanation opens after your attempt
Correct Answer

A. सममितSymmetric

Step 1

Concept

\((1,2)\in R\) but \((2,1)\notin R\), so it is not symmetric. Since all diagonal pairs are present, it is reflexive.

Step 2

Why this answer is correct

The correct answer is A. सममित / Symmetric. \((1,2)\in R\) but \((2,1)\notin R\), so it is not symmetric. Since all diagonal pairs are present, it is reflexive.

Step 3

Exam Tip

\((1,2)\in R\) है पर \((2,1)\notin R\), इसलिए सममित नहीं है। Diagonal pairs होने से reflexive है।

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Mathematics Answer, Explanation and Revision Hints

\(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2)\}\) है। कौन सा property गलत है? / On \(A=\{1,2,3\}\), \(R=\{(1,1),(2,2),(3,3),(1,2)\}\). Which property is false?

Correct Answer: A. सममित / Symmetric. Explanation: \((1,2)\in R\) है पर \((2,1)\notin R\), इसलिए सममित नहीं है। Diagonal pairs होने से reflexive है। / \((1,2)\in R\) but \((2,1)\notin R\), so it is not symmetric. Since all diagonal pairs are present, it is reflexive.

Which concept should I revise for this Mathematics MCQ?

\((1,2)\in R\) but \((2,1)\notin R\), so it is not symmetric. Since all diagonal pairs are present, it is reflexive.

What exam hint can help solve this Mathematics question?

\((1,2)\in R\) है पर \((2,1)\notin R\), इसलिए सममित नहीं है। Diagonal pairs होने से reflexive है।