\(A=\{1,2,3,4,5,6\}\) पर \(R=\{(a,b):\gcd(a,b)=1\}\) के लिए कौन सा गुण सही है?
For \(R=\{(a,b):\gcd(a,b)=1\}\) on \(A=\{1,2,3,4,5,6\}\), which property is correct?
Explanation opens after your attempt
Correct Answer
A. सममितSymmetric
Concept
(\gcd(a,b)=\gcd(b,a)). But (\gcd(2,2)=2), so it is not reflexive.
Why this answer is correct
The correct answer is A. सममित / Symmetric. (\gcd(a,b)=\gcd(b,a)). But (\gcd(2,2)=2), so it is not reflexive.
Exam Tip
(\gcd(a,b)=\gcd(b,a)) होता है। पर (\gcd(2,2)=2) इसलिए यह स्वसम नहीं है।
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