CUET · MATHS · PYQ PAPER 2025
The relation R in the set {1, 2, 3} given by R = {(1,1), (2, 2), (3, 3), (1, 2), (1, 3), (2, 3)} is
- A symmetric
- B not reflexive
- C not transitive
- D both reflexive and transitive
Answer & Solution
Correct Answer
(D) both reflexive and transitive
Step-by-step Solution
Detailed explanation
Reflexivity: For all \( a \in \{1,2,3\} \), \( (a,a) \in R \). \( (1,1) \in R, (2,2) \in R, (3,3) \in R \). R is reflexive. Transitivity: For all \( (a,b) \in R \) and \( (b,c) \in R \), \( (a,c) \in R \). For example, \( (1,2) \in R \) and…
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