CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Q51 Marksrelation_properties
CBSE Class 12 Mathematics 2026 Main Paper 65/2/3 · Question 5 (Relations And Functions)
On A={1,2,3}, classify R={(1,3),(3,3),(1,1),(2,2),(3,1)}.
(A) Only reflexive and symmetric
(B) Reflexive only
(C) Only reflexive and transitive
(D) Reflexive, symmetric and transitive
✅ Step-by-Step Solution
Final Answer: Reflexive, symmetric and transitive
The relation consists exactly of all pairs within each block of the partition {1,3} and {2}. Being in the same block is reflexive, symmetric and transitive.
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