समुच्चय \(A=\{2,3,4,5,6\}\) पर (aRb) तभी जब (a+b) अभाज्य हो। (R) की कौन सी property निश्चित है?
On \(A=\{2,3,4,5,6\}\), (aRb) if and only if (a+b) is prime. Which property is surely true for (R)?
Explanation opens after your attempt
Correct Answer
A. सममितSymmetric
Concept
Because (a+b=b+a), reversing the pair keeps the same sum. But not every (a+a) is prime, so reflexivity is not guaranteed.
Why this answer is correct
The correct answer is A. सममित / Symmetric. Because (a+b=b+a), reversing the pair keeps the same sum. But not every (a+a) is prime, so reflexivity is not guaranteed.
Exam Tip
क्योंकि (a+b=b+a), pair उलटने पर भी योग वही रहता है। पर हर (a+a) prime नहीं होता, इसलिए reflexive निश्चित नहीं है।
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