imo class 12 relations and functions

The universal relation on a non-empty set A is:

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The universal relation on a non-empty set A is:

  • A. Only reflexive
  • B. Only symmetric
  • C. Only transitive
  • D. An equivalence relation

Answer: D) An equivalence relation

Explanation: The universal relation U = A × A contains all possible ordered pairs from A. It is trivially reflexive, symmetric, and transitive, making it an equivalence relation.

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