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

The relation R on A = {1,2,3} given by R = {(1,2), (2,1)} is:

Answer: Symmetric but not reflexive or transitive.

  • A Transitive only
  • B Symmetric but not reflexive or transitive
  • C An equivalence relation
  • D Reflexive and symmetric

Correct answer: B. Symmetric but not reflexive or transitive

Explanation: Both directions of the pair are present, but (1,1) is missing and (1,2) with (2,1) does not give (1,1).

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 →