Question

$R$ is a relation on $N$ given by $R=\{(x,y)|4x+3y=20\}$. Which of the following belongs to $R$ ?

• A. (-4, 12)
• B. (5, 0)
• C. (3, 4)
• D. (2, 4)

Answer 1

Answer: (D)

Given, $R=\{(x,y):4x+3y=20\}$
Since, $R$ is a relation on $N$, therefore $x,y$ are the elements of $N$. In the given options $(a),(b)$ and $(d)$ satisfy the given relation, but in options $(a)$ and $(b)$ elements are not natural numbers.
Hence, option $(d)$ is the correct answer.