Let A = {1, 2, 3, 4} and R be a relation

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let A = {1, 2, 3, 4} and R be a relation in A given by R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1), (3, 1), (1, 3)}. Then R is:

Options:

Reflexive

Symmetric

Transitive

An equivalent relation

Correct Answer:

Symmetric

Explanation:

(1, 1) (2, 2), (4, 4) ∈ R

R is reflexive

∵ (1, 2), (3, 1) ∈ R and also (2, 1) (1, 3) ∈ R

Hence, R is symmetric. But clearly R is not transitive.