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)

(2, 4)

Answer 2

Given, $R=\\{(x, y): 4 x+3 y=20\\}$
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.