समुच्चय \(A=\{2,3,4,6\}\) पर \(R=\{(a,b):\operatorname{lcm}(a,b)=12\}\) है। कौन सा गुण सत्य है?
On \(A=\{2,3,4,6\}\), \(R=\{(a,b):\operatorname{lcm}(a,b)=12\}\). Which property is true?
Explanation opens after your attempt
Correct Answer
A. सममितिSymmetry
Concept
Since (\operatorname{lcm}(a,b)=\operatorname{lcm}(b,a)), the relation is symmetric. Not all diagonal pairs occur, for example (\operatorname{lcm}(2,2)=2).
Why this answer is correct
The correct answer is A. सममिति / Symmetry. Since (\operatorname{lcm}(a,b)=\operatorname{lcm}(b,a)), the relation is symmetric. Not all diagonal pairs occur, for example (\operatorname{lcm}(2,2)=2).
Exam Tip
(\operatorname{lcm}(a,b)=\operatorname{lcm}(b,a)), इसलिए संबंध सममित है। सभी विकर्ण युग्म नहीं आते, जैसे (\operatorname{lcm}(2,2)=2)।
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