समुच्चय \(A=\{1,2,3,4,5,6\}\) पर (aRb) तभी जब (\gcd(a,b)=1)। (R) के बारे में सही विकल्प चुनिए।
On \(A=\{1,2,3,4,5,6\}\), (aRb) if and only if (\gcd(a,b)=1). Choose the correct option about (R).
Explanation opens after your attempt
Correct Answer
A. सममित लेकिन प्रतिवर्ती नहींSymmetric but not reflexive
Concept
Since (\gcd(a,b)=\gcd(b,a)), the relation is symmetric. But (\gcd(2,2)=2\neq1), so it is not reflexive.
Why this answer is correct
The correct answer is A. सममित लेकिन प्रतिवर्ती नहीं / Symmetric but not reflexive. Since (\gcd(a,b)=\gcd(b,a)), the relation is symmetric. But (\gcd(2,2)=2\neq1), so it is not reflexive.
Exam Tip
(\gcd(a,b)=\gcd(b,a)), इसलिए relation सममित है। पर (\gcd(2,2)=2\neq1), इसलिए प्रतिवर्ती नहीं।
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