समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\) क्या तुल्यता संबंध है?

On \(A=\{1,2,3\}\), is \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\) an equivalence relation?

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Correct Answer

A. हाँ क्योंकि यह प्रतिवर्ती सममित और सकर्मक हैYes because it is reflexive symmetric and transitive

Step 1

Concept

It is reflexive and the reverses of ((1,2),(2,1)) are present. The required transitive pairs ((1,1),(2,2)) are also present.

Step 2

Why this answer is correct

The correct answer is A. हाँ क्योंकि यह प्रतिवर्ती सममित और सकर्मक है / Yes because it is reflexive symmetric and transitive. It is reflexive and the reverses of ((1,2),(2,1)) are present. The required transitive pairs ((1,1),(2,2)) are also present.

Step 3

Exam Tip

यह प्रतिवर्ती है और ((1,2),(2,1)) के उल्टे मौजूद हैं। साथ ही आवश्यक सकर्मक युग्म ((1,1),(2,2)) मौजूद हैं।

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Mathematics Answer, Explanation and Revision Hints

समुच्चय \(A=\{1,2,3\}\) पर \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\) क्या तुल्यता संबंध है? / On \(A=\{1,2,3\}\), is \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\) an equivalence relation?

Correct Answer: A. हाँ क्योंकि यह प्रतिवर्ती सममित और सकर्मक है / Yes because it is reflexive symmetric and transitive. Explanation: यह प्रतिवर्ती है और ((1,2),(2,1)) के उल्टे मौजूद हैं। साथ ही आवश्यक सकर्मक युग्म ((1,1),(2,2)) मौजूद हैं। / It is reflexive and the reverses of ((1,2),(2,1)) are present. The required transitive pairs ((1,1),(2,2)) are also present.

Which concept should I revise for this Mathematics MCQ?

It is reflexive and the reverses of ((1,2),(2,1)) are present. The required transitive pairs ((1,1),(2,2)) are also present.

What exam hint can help solve this Mathematics question?

यह प्रतिवर्ती है और ((1,2),(2,1)) के उल्टे मौजूद हैं। साथ ही आवश्यक सकर्मक युग्म ((1,1),(2,2)) मौजूद हैं।