Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

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

Options:

reflexive only

reflexive and transitive

symmetric and transitive

neither symmetric nor transitive

Correct Answer:

reflexive and transitive

Explanation:

$A=\{1,2,3\}$

all $(1,1),(2,2), (3,3)∈R$ ⇒ R is reflexive

for $(1,2)∈R(2,1)∉R$ ⇒ R is not symmetric

for $(1,2)∈R,(2,3)∈R,(1,3)∈R$ ⇒ R is transitive