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

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

Answer: Reflexive and transitive but not symmetric.

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

Correct answer: A. Reflexive and transitive but not symmetric

Explanation: All three (a,a) pairs are present and no chain is broken, but (1,2) is present while (2,1) is not.

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 →