Let R be the relation defined on Z by $\mathrm{R}=\left\{(\mathrm{x}, \mathrm{y}): \mathrm{x}^2+\mat

Question

Let R be the relation defined on Z by $\mathrm{R}=\left\{(\mathrm{x}, \mathrm{y}): \mathrm{x}^2+\mathrm{y}^2=25\right\}$. Then

Professor PC Thomas Classes · Answer

$\mathrm{R}=\{(0,5),(0,-5),(3,4),(3,-4)$,$(-3,4),(-3,-4)$,$(4,3),(4,-3),(-4,3),(-4,-3)$,$(5,0),(-5,0)\}$∴ $\operatorname{Dom} R=\{0,3,-3,4,-4,5,-5\}$