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📐 Mathematics  ·  Relations and Functions (Class 12)  ·  JEE

On the positive integers, the relation aRb defined by 'a divides b' is:

Answer: a partial order but not an equivalence relation.

  • A an equivalence relation
  • B a partial order but not an equivalence relation
  • C symmetric only
  • D not transitive

Correct answer: B. a partial order but not an equivalence relation

Explanation: It is reflexive, antisymmetric and transitive but not symmetric, hence a partial order.

Concept context

Types of relations, equivalence classes, one-one and onto functions, composition, and invertible functions

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