imo class 12 relations and functions

Let R be a relation on the set N of natural numbers defined by aRb if a divides b. Then R is:

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Let R be a relation on the set N of natural numbers defined by aRb if a divides b. Then R is:

  • A. Reflexive and symmetric
  • B. Transitive and symmetric
  • C. Equivalence relation
  • D. Reflexive and transitive

Answer: D) Reflexive and transitive

Explanation: Every number divides itself, so R is reflexive. If a divides b and b divides c, then a divides c, so R is transitive. However, 2 divides 4 but 4 does not divide 2, so it is not symmetric.

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