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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations

Class 12 Maths · Relations And Functions · Mcq Single Correct #1

Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the minimum number of ordered pairs which when added to \(R\) make it an equivalence relation is

✅ Step-by-Step Solution

Final Answer: Option (C): 7
  1. The pairs link all three elements into a single equivalence class. The closure is \(A\times A\), with 9 pairs. Since 2 are already present, \(9-2=7\) pairs must be added.

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