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