Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let A = {1, 2, 3} and R = {(1, 1), (1, 3), (3, 1), (2, 2), (2, 1), (3, 3)} be a relation on A. Then, R is :

Options:

Reflexive

Both Reflexive and Symmetric

Symmetric but not Reflexive

Both Reflexive and Transitive

Correct Answer:

Reflexive

Explanation:

The correct answer is Option (1) → Reflexive

$(1,1),(2,2),(3,3)∈R$ ⇒ R is reflexive

$(2, 1) ∈R$ but $(1,2)∉R$ ⇒ R is not symmetric

$(1,3)∈R,(2, 1) ∈R$ but $(2,3)∉R$ ⇒ R is not transitive