CUET · MATHS · PYQ PAPER 2023
The relation \(R\) in the set \(\{1,2,3\}\) given by \(R=\{(1,1),(2,2),(3,3),(1,2),(2,3)\}\) is:
- A Reflexive only
- B Symmetric only
- C Transitive only
- D Equivalence
Answer & Solution
Correct Answer
(A) Reflexive only
Step-by-step Solution
Detailed explanation
Reflexive: For all \(a \in \{1,2,3\}\), \((a,a) \in R\). Yes. Symmetric: \((1,2) \in R\) but \((2,1) \notin R\). No. Transitive: \((1,2) \in R\) and \((2,3) \in R\), but \((1,3) \notin R\). No. Reflexive only
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