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?
Explanation opens after your attempt
A. हाँ क्योंकि यह प्रतिवर्ती सममित और सकर्मक हैYes because it is reflexive symmetric and transitive
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.
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.
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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