Target Exam

CUET

Subject

Maths. Section B1

Chapter

Relations and Functions

Question:

Let $A = \{1, 2, 3\}$ and consider the relation $R = \{(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3), (3, 2), (3, 1)\}$. Then, $R$ is

Options:

reflexive but not symmetric

reflexive and transitive

symmetric and transitive

transitive only

Correct Answer:

reflexive but not symmetric

Explanation:

The correct answer is Option (1) → reflexive but not symmetric ##

Clearly $R$ is reflexive but $R$ is not symmetric as $(1, 2) \in R$ but $(2, 1) \notin R$.

Also, $R$ is not transitive as $(2, 3) \in R$ and $(3, 1) \in R$ but $(2, 1) \notin R$.