JEE Main 2013 Mathematics question

Let R = {(3, 3)(5, 5), (9, 9), (12, 12), (5, 12), (3, 9), (3, 12), (3, 5)} be a relation on the set A = {3, 5, 9, 12} . Then, R is :

Answer: (4)

Solution

All (a, a) are present — reflexive. (5, 12) ∈ R but (12, 5) ∉ R — not symmetric. Transitivity holds:

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Question ID VK-104061