The relation $R = \{(1, 1), (2, 2), (3,

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The relation $R = \{(1, 1), (2, 2), (3, 3)\}$ on the set $\{1, 2, 3\}$ is

Options:

symmetric only

reflexive only

an equivalence relation

transitive only

Correct Answer:

an equivalence relation

Explanation:

Clearly, R is the identity relation on set $\{1, 2, 3\}$ and the identity relation is always an equivalence relation.

Hence, R is an equivalence relation.