Solve this


Let $R$ be a relation on $Z$, defined by $(x, y) \in R \leftrightarrow x^{2}+y^{2}=9$. Then, write $R$ as a set of ordered pairs. What is its domain?




We can have only integral values of x and y.

Put $x=0, y=3,0^{2}+3^{2}=9$

Put $x=3, y=0,3^{2}+0^{2}=9$


The domain of R is the set of first co-ordinates of R


The range of R is the set of second co-ordinates of R

Range $(R)=\{-3,0,3\}$


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