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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