Write the domain of the relation R defined on the set Z of integers as follows:

Question:

Write the domain of the relation R defined on the set Z of integers as follows:

$(a, b) \in R \Leftrightarrow a^{2}+b^{2}=25$

 

Solution:

$0, \pm 3, \pm 4, \pm 5$

Thus,

Domain of $R=\{0, \pm 3, \pm 4, \pm 5\}$

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