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

The relation R on ℝ given by aRb if a ≤ b is:

Answer: Reflexive and transitive but not symmetric.

  • A Symmetric and transitive only
  • B Neither reflexive nor transitive
  • C Reflexive and transitive but not symmetric
  • D An equivalence relation

Correct answer: C. Reflexive and transitive but not symmetric

Explanation: a ≤ a holds and the relation chains, but a ≤ b does not give b ≤ a unless they are equal - this is a partial order.

Concept context

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

Read the full Relations and Functions (Class 12) notes →