R D Sharma Solutions for Chapter: Relations, Exercise 4: VERY SHORT ANSWER QUESTIONS (VSAQs)

If $n\left(A\right)=3, n\left(B\right)=4$ then $n(A\times A\times B)=$

Let $A=\{1,2,3\}$ and $R=\left\{(a,b): \left|a^2-b^2\right|\le 5, a,b\in A\right\}$ Then write $R$ as set of ordered pairs

Let $R=\left\{\right(x,y):x,y\in Z,y=2x-4\}$ if $(a,-2)$ and $\left(4,b^2\right)\in R$ then write the values of $a$ and $b$

If $R=\left\{\right(2,1),(4,7),(1,-2),\dots .\}$, then write the linear relation between the components of the ordered pairs of the relation $R$

If  $A=\{1,3,5\}$ and $B=\{2,4\}$ list the elements of $R$, if $R=\left\{\right(x,y):x,y\in A\times B$ and $x>y \}$

If $R=\left\{\right(x,y):x,y\in W,2x+y=8\}$ then write the domain and range of $R$

Let $A$ and $B$ be two sets such that $n\left(A\right)=3 and n\left(B\right)=2 if (x,1),(y,2),(z,1)$ are in $A\times B$, write $A$ and $B$

Let $A=\{1,2,3,5\}, B=\{4,6,9\}$ and $R$ be a relation from $A$ to $B$ defined by $R=\left\{\right(x,y):x-y$ is odd} Write $R$ in roster form.