समुच्चय \(A=\{1,2,3,4\}\) पर \(R=\{(a,b):a-b\in{0,2,-2}\}\) है। सही कथन कौन सा है?
On \(A=\{1,2,3,4\}\), \(R=\{(a,b):a-b\in{0,2,-2}\}\). Which statement is correct?
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Correct Answer
A. यह तुल्य संबंध हैIt is an equivalence relation
Concept
It connects numbers of the same parity. Hence it is reflexive, symmetric, and transitive.
Why this answer is correct
The correct answer is A. यह तुल्य संबंध है / It is an equivalence relation. It connects numbers of the same parity. Hence it is reflexive, symmetric, and transitive.
Exam Tip
यह समान सम-विषम वर्गों को जोड़ता है। इसलिए स्वतुल्य, सममित और संक्रमणीय है।
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