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) `Dom a inofR` (iii) `R a ngeofR`

Explanation

To solve the problem step by step, we need to find the relation \( R \), the domain of \( R \), and the range of \( R \) based on the given condition \( a + 3b = 12 \) where \( a \) and \( b \) are natural numbers.

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

We start with the equation:
\[ a + 3b = 12 \]
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