JEE Main 2024 Mathematics question
If R is the smallest equivalence relation on the set {1, 2, 3, 4} such that {(1, 2), (1, 3)} ⊂ R, then the number of elements in R is
Answer: (B)
Solution
Reflexivity requires (1,1), (2,2), (3,3), (4,4). Symmetry adds (2,1) and (3,1). Transitivity then forces (2,3)
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