A relation R is defined as R = (1,2) on set A = 1,2,3 , then R is… - Vidyadip

MCQ

A relation R is defined as $R =\{(1,2)\}$ on set $A =$ $\{1,2,3\}$, then R is :

A
Reflexive
B
Symmetric
✓
Transitive
D
None of these.

✓

Answer

Correct option: C.

Transitive

(C) - Transitive.
$\because(1,1),(2,2),(3,3) \notin R \Rightarrow R$ is not reflexive.
$\because(1,2) \in R$ but $(2,1) \notin R \Rightarrow R$ is not symmetric. $R$ is transitive because $(1,2) \notin R$ there is not any ordered pair starting from 2 .

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