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

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

KCETKCET 2008Relations and Functions

Solution:

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.