If $R$ is a relation from set $A$ to set $B$,then

Let $R$ be a relation from $N$ to $N$ defined by $R = \{(a, b) : a, b \in N \text{ and } a = b^2\}$. Is the following statement true?
$(a, b) \in R$ implies $(b, a) \in R$

Determine the domain and range of the relation $R$ defined by $R = \{(x, x+5): x \in \{0, 1, 2, 3, 4, 5\}\}$.

Given two finite sets $A$ and $B$ such that $n(A) = 2$ and $n(B) = 3$. Then the total number of relations from $A$ to $B$ is:

If $A$ is the set of even natural numbers less than $8$ and $B$ is the set of prime numbers less than $7$,then the number of relations from $A$ to $B$ is

The figure shows a relation between the sets $P$ and $Q$. Write this relation in set-builder form. What are its domain and range?