यदि \(A=\{1,2,3\}\) और \(R=\{(1,2),(2,1),(2,3)\}\) है, तो (R) symmetric क्यों नहीं है?

If \(A=\{1,2,3\}\) and \(R=\{(1,2),(2,1),(2,3)\}\), why is (R) not symmetric?

Explanation opens after your attempt
Correct Answer

A. ( (3,2) ) missing है( (3,2) ) is missing

Step 1

Concept

Here \((2,3)\in R\), but \((3,2)\notin R\). One missing reverse pair breaks symmetry.

Step 2

Why this answer is correct

The correct answer is A. ( (3,2) ) missing है / ( (3,2) ) is missing. Here \((2,3)\in R\), but \((3,2)\notin R\). One missing reverse pair breaks symmetry.

Step 3

Exam Tip

\((2,3)\in R\) है लेकिन \((3,2)\notin R\) है। एक reverse pair missing होने से symmetry टूट जाती है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3\}\) और \(R=\{(1,2),(2,1),(2,3)\}\) है, तो (R) symmetric क्यों नहीं है? / If \(A=\{1,2,3\}\) and \(R=\{(1,2),(2,1),(2,3)\}\), why is (R) not symmetric?

Correct Answer: A. ( (3,2) ) missing है / ( (3,2) ) is missing. Explanation: \((2,3)\in R\) है लेकिन \((3,2)\notin R\) है। एक reverse pair missing होने से symmetry टूट जाती है। / Here \((2,3)\in R\), but \((3,2)\notin R\). One missing reverse pair breaks symmetry.

Which concept should I revise for this Mathematics MCQ?

Here \((2,3)\in R\), but \((3,2)\notin R\). One missing reverse pair breaks symmetry.

What exam hint can help solve this Mathematics question?

\((2,3)\in R\) है लेकिन \((3,2)\notin R\) है। एक reverse pair missing होने से symmetry टूट जाती है।