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📐 Mathematics  ·  Relations and Functions  ·  JEE

The relation R = {(a,b) : a divides b} on Z+ is:

Answer: Partial order only.

  • A Equivalence relation
  • B Partial order only
  • C Both equivalence and partial order
  • D Neither

Correct answer: B. Partial order only

Explanation: Divisibility on Z+ is reflexive (a|a), antisymmetric (a|b and b|a implies a=b), and transitive. But not symmetric. So it is a partial order, not equivalence.

Concept context

Ordered pairs, Cartesian products, types of relations and functions, domain and range. Foundation for calculus and Class 12 algebra.

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