Let R = (3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6) be a relation on the set A = 3, 6, 9, 12 . The relation is

JEE Main 2005 Mathematics question

Let be a relation on the set . The relation is

Answer: (1)

All (x, x) are present — reflexive. (6, 12) ∈ R but (12, 6) ∉ R — not symmetric. Transitivity: e.g. (3, 6), (6, 12) give (3, 12) ∈ R, and

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Question ID VK-038695