समुच्चय \(A=\{1,2,3,4,5\}\) पर \(R=\{(a,b):a+b\leq6\}\) है। (R) के बारे में सही विकल्प चुनिए।
On \(A=\{1,2,3,4,5\}\), \(R=\{(a,b):a+b\leq6\}\). Choose the correct option about (R).
Explanation opens after your attempt
Correct Answer
A. सममित लेकिन प्रतिवर्ती नहींSymmetric but not reflexive
Concept
Since (a+b=b+a), the relation is symmetric. But \((4,4)\notin R\) because \(4+4\leq6\) is false, so it is not reflexive.
Why this answer is correct
The correct answer is A. सममित लेकिन प्रतिवर्ती नहीं / Symmetric but not reflexive. Since (a+b=b+a), the relation is symmetric. But \((4,4)\notin R\) because \(4+4\leq6\) is false, so it is not reflexive.
Exam Tip
(a+b=b+a), इसलिए relation symmetric है। पर \((4,4)\notin R\) क्योंकि \(4+4\leq6\) गलत है, इसलिए reflexive नहीं।
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