\(यदि (A={1,2,3,4}) और (R={(a,b):a-b\) is divisible by 2}) हो तो (R) के बारे में सही कथन कौन सा है?

\(If (A={1,2,3,4}) and (R={(a,b):a-b\) is divisible by 2}), which statement about (R) is correct?

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Correct Answer

A. (R) तुल्य संबंध है(R) is an equivalence relation

Step 1

Concept

Since (a-a=0), symmetry and transitivity also hold. In exams, always test all three properties for divisibility relations.

Step 2

Why this answer is correct

The correct answer is A. (R) तुल्य संबंध है / (R) is an equivalence relation. Since (a-a=0), symmetry and transitivity also hold. In exams, always test all three properties for divisibility relations.

Step 3

Exam Tip

क्योंकि (a-a=0), सममिति और संक्रमणीयता सभी पूरी होती हैं। परीक्षा में भाग्यता वाले संबंधों में तीनों गुण जरूर जांचें।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (A={1,2,3,4}) और (R={(a,b):a-b\) is divisible by 2}) हो तो (R) के बारे में सही कथन कौन सा है? \(/ If (A={1,2,3,4}) and (R={(a,b):a-b\) is divisible by 2}), which statement about (R) is correct?

Correct Answer: A. (R) तुल्य संबंध है / (R) is an equivalence relation. Explanation: क्योंकि (a-a=0), सममिति और संक्रमणीयता सभी पूरी होती हैं। परीक्षा में भाग्यता वाले संबंधों में तीनों गुण जरूर जांचें। / Since (a-a=0), symmetry and transitivity also hold. In exams, always test all three properties for divisibility relations.

Which concept should I revise for this Mathematics MCQ?

Since (a-a=0), symmetry and transitivity also hold. In exams, always test all three properties for divisibility relations.

What exam hint can help solve this Mathematics question?

क्योंकि (a-a=0), सममिति और संक्रमणीयता सभी पूरी होती हैं। परीक्षा में भाग्यता वाले संबंधों में तीनों गुण जरूर जांचें।