Let $r$ be a relation from $R$ (Set of real number) to $R$ defined by $r$ = $\left\{ {\left( {x,y} \right)\,|\,x,\,y\, \in \,R} \right.$ and $xy$ is an irrational number $\}$ , then relation $r$ is

Let $A=\{1,2,3\} .$ Then number of relations containing $(1,2)$ and $(1,3)$ which are reflexive and symmetric but not transitive is

Let $R$ be a relation defined on $N$ as a $R$ b is $2 a+3 b$ is a multiple of $5, a, b \in N$. Then $R$ is

 Solution set of $x \equiv 3$ (mod $7$), $p \in Z,$ is given by

Let $R _{1}=\{( a , b ) \in N \times N 😐 a – b | \leq 13\}$ and $R _{2}=\{( a , b ) \in N \times N 😐 a – b | \neq 13\} .$ Thenon $N$