If R is a relation defined on the set Z of integers by the rule (*x*, *y*) ∈ R ⇔ *x*^{2} + *y*^{2} = 9, then write domain of R.

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#### Solution

We need to find (*x*, *y*) ∈ R such that *x*^{2} + *y*^{2} = 9.

\[Now, \]

\[ \left( 3 \right)^2 + 0^2 = 9\]

\[ \Rightarrow \left( - 3 \right)^2 + 0^2 = 9\]

*x* can take values -3, 0 and 3.

∴ Domain (R) = {-3, 0, 3}

Concept: Relation

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