CUET · MATHS · PYQ PAPER 2025
For the relation \(R=\{(a, b): a \leq b\}\) in \(R\), which of the following is correct?
- A It is reflexive and symmetric but not transitive
- B It is reflexive, symmetric and transitive
- C It is reflexive and transitive but not symmetric
- D It is neither reflexive nor symmetric nor transitive
Answer & Solution
Correct Answer
(C) It is reflexive and transitive but not symmetric
Step-by-step Solution
Detailed explanation
Reflexive: For any \(a \in \mathbb{R}\), \(a \leq a\) is true. Symmetric: False. If \(a \leq b\), it doesn't imply \(b \leq a\). (e.g., \(1 \leq 2\), but \(2 \not\leq 1\)). Transitive: True. If \(a \leq b\) and \(b \leq c\), then \(a \leq c\). Therefore, it is reflexive and…
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