Let `R` be the relation on the set `N` of natural numbers defined by `R={(a ,b): a+3b=12 ,a in N ,b in N}dot` Find : (i) `R` (ii) `Domain``of`R` (iii) `Range``of`R`

Explanation

To solve the problem, we need to find the relation \( R \) defined by the equation \( a + 3b = 12 \) where \( a \) and \( b \) are natural numbers. We will also determine the domain and range of this relation.

### Step 1: Finding the Relation \( R \)

We start with the equation:

\[
a + 3b = 12
...