Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

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

Options:

Reflexive only

Symmetric only

Transitive only

Equivalence

Correct Answer:

Reflexive only

Explanation:

The correct answer is Option (1) → Reflexive only

$(1,2)∈R$ but $(2,1)∉R$ (Not Symmetric)

$(1,2)∈R,(2,3)∈R$ but $(1,3)∉R$ (Not Transitive)

$(1,1)∈R,(2,2)∈R,(3,3)∈R$ (Reflexive)

R is Reflexive only