Let $A = \{a, b, c\}$ and $B = \{1, 2\}$. Consider a relation $R$ defined from set $A$ to set $B$. Then $R$ is equal to set

If $R \subset A \times B$ and $S \subset B \times C\,$ be two relations, then ${(SoR)^{ – 1}} = $

Let $A =\{1,2,3,4, \ldots .10\}$ and $B =\{0,1,2,3,4\}$ The number of elements in the relation $R =\{( a , b )$ $\left.\in A \times A : 2( a – b )^2+3( a – b ) \in B \right\}$ is $………$.

Let $L$ denote the set of all straight lines in a plane. Let a relation $R$ be defined by $\alpha R\beta \Leftrightarrow \alpha \bot \beta ,\,\alpha ,\,\beta \in L$. Then $R$ is

Give an example of a relation. Which is Symmetric but neither reflexive nor transitive.