Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

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

Options:

Reflexive but not symmetric

Reflexive but not transitive

Symmetric and transitive

Neither symmetric nor transitive

Correct Answer:

Reflexive but not symmetric

Explanation:

Since (1, 1), (2, 2), (3, 3) ∈ R therefore R is reflexive (1, 2) ∈ R but (2, 1) ∉ R, therefore R is not symmetric. It can be easily seen that R is transitive.