Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.
Relations and Functions
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
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 but neither symmetric nor transitive (b) Reflexive and symmetric but not transitive (c) Reflexive and transitive but not symmetric (d) Equivalence relation
Step-by-Step Solution
Reflexive: Yes. Symmetric: No (1,2 in R, 2,1 not). Transitive: No (1,2 & 2,3 in R, 1,3 not). [1.0 Mark]
--- 🎯 Official CBSE Marking Scheme: Selecting Reflexive but neither symmetric nor transitive: 1.0 Mark
Correct Answer:Reflexive but neither symmetric nor transitive
Mathbee AI Mentor (Free Demo)
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.
Master Relations and Functions with Mathbee
Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.