1.Relation and Function
easy

જે સંમિત અને પરંપરિત હોય પરંતુ સ્વવાચક ના હોય, તેવા સંબંધોનાં ઉદાહરણો આપો.

Option A
Option B
Option C
Option D

Solution

Let $A=\{-5,-6\}$

Define a relation $R$ on $A$ as

$R=\{(-5,-6),(-6,-5),(-5,-5)\}$

Relation $R$ is not reflexive as $(-6,-6)\notin R$

It is seen that $(-5,-6),\,(-6,-5) \in R$. Also, $(-5,-5)\in R$.

$\therefore$ The relation $R$ is transitive.

Hence, relation $R$ is symmetric and transitive but not reflexive.

Standard 12
Mathematics

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