CUET · MATHS · PYQ PAPER 2023
The relation R = {(1, 1), (2, 2), (3, 3)} on the set {1, 2, 3} is :
- A symmetric only
- B reflexive only
- C transitive only
- D an equivalence relation
Answer & Solution
Correct Answer
(D) an equivalence relation
Step-by-step Solution
Detailed explanation
R is reflexive: \((a,a) \in R\) for all \(a \in \{1,2,3\}\). R is symmetric: If \((a,b) \in R\), then \((b,a) \in R\). R is transitive: If \((a,b) \in R\) and \((b,c) \in R\), then \((a,c) \in R\). Therefore, R is an equivalence relation.
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