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Question
If R is a relation defined on the set Z of integers by the rule (x, y) ∈ R ⇔ x2 + y2 = 9, then write domain of R.
Solution
We need to find (x, y) ∈ R such that x2 + y2 = 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}
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