समुच्चय \(A=\{1,2,3,4\}\) पर \(R=\{(a,b):a+b=5\}\) है। (R) के बारे में सही कथन क्या है?
For \(A=\{1,2,3,4\}\), \(R=\{(a,b):a+b=5\}\). What is the correct statement about (R)?
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Correct Answer
A. सममित लेकिन प्रतिवर्ती नहींSymmetric but not reflexive
Concept
If (a+b=5), then (b+a=5), so it is symmetric. But ((1,1)) is not in the relation because \(1+1\neq5\).
Why this answer is correct
The correct answer is A. सममित लेकिन प्रतिवर्ती नहीं / Symmetric but not reflexive. If (a+b=5), then (b+a=5), so it is symmetric. But ((1,1)) is not in the relation because \(1+1\neq5\).
Exam Tip
यदि (a+b=5), तो (b+a=5), इसलिए सममित है। पर ((1,1)) relation में नहीं क्योंकि \(1+1\neq5\)।
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