समुच्चय \(A=\{1,2,3,4,5,6\}\) पर \(R=\{(a,b):\gcd(a,b)=1\}\) है। कौन सा गुण अवश्य सत्य है?
On \(A=\{1,2,3,4,5,6\}\), \(R=\{(a,b):\gcd(a,b)=1\}\). Which property is necessarily true?
Explanation opens after your attempt
Correct Answer
A. सममितिSymmetry
Concept
Since (\gcd(a,b)=\gcd(b,a)), the relation is symmetric. But all ((a,a)) are not included because (\gcd(2,2)=2).
Why this answer is correct
The correct answer is A. सममिति / Symmetry. Since (\gcd(a,b)=\gcd(b,a)), the relation is symmetric. But all ((a,a)) are not included because (\gcd(2,2)=2).
Exam Tip
(\gcd(a,b)=\gcd(b,a)), इसलिए संबंध सममित है। लेकिन सभी ((a,a)) शामिल नहीं हैं क्योंकि (\gcd(2,2)=2)।
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