Zaymiey

📐 Mathematics  ·  Relations and Functions  ·  JEE

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

Answer: Reflexive, symmetric and transitive.

  • A Reflexive alone, since transitivity and symmetry both supposedly fail
  • B Symmetric alone, assuming no pair (a,a) is actually present
  • C Reflexive, symmetric and transitive
  • D Transitive alone, assuming reflexivity is taken not to hold

Correct answer: C. Reflexive, symmetric and transitive

Explanation: R is the identity relation: reflexive (each relates to itself), symmetric, and transitive.

Concept context

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

Read the full Relations and Functions notes →