Define a relation R on $$ as follows: For all integers m and n$,$

m R n $5|($m$2$ n$2).$

Now answer the following yes or no questions:

$($a$)$ Is $1$ R $(6)?$

$($b$)$ Is $2$ R $18?$

$($c$)$ Is $3$ R $(8)?$

$($d$)$ Is $(8)$ R $3?$