Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

the relation R in the set {1,2,3} given by R = {(1,1), (2,2), (3,3), (1,2), (2,3)} is-

Options:

Reflexive

Symmetric

Transitive

None of these

Correct Answer:

Reflexive

Explanation:

The given relation R = {(1,1), (2,2), (3,3), (1,2), (2,3)} is reflexive since (1,1), (2,2) and (3,3) lie in R. R is not symmetric, as (1,2)∈R bur (2,1) ∉ R. Similarly, R is not transitive, as (1,2)∈R and (2,3) ∈R but (1,3) ∉ R.