यदि \(R\subseteq A\times A\) सममित है और \((3,4)\notin R\), तो किस निष्कर्ष को निश्चित नहीं कहा जा सकता?
If \(R\subseteq A\times A\) is symmetric and \((3,4)\notin R\), which conclusion is not guaranteed?
Explanation opens after your attempt
Correct Answer
C. \((3,3)\in R\)
Concept
Symmetry lets us infer \((4,3)\notin R\) from \((3,4)\notin R\). But the presence of diagonal pairs is not guaranteed by symmetry.
Why this answer is correct
The correct answer is C. \((3,3)\in R\). Symmetry lets us infer \((4,3)\notin R\) from \((3,4)\notin R\). But the presence of diagonal pairs is not guaranteed by symmetry.
Exam Tip
सममितता से \((3,4)\notin R\) होने पर \((4,3)\notin R\) निष्कर्ष निकलता है। लेकिन diagonal युग्मों की उपस्थिति सममितता से निश्चित नहीं होती।
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