Given bends are conditions of two circles,
\[xy\text{ }=\text{ }4\text{ }\ldots \text{ }..\text{ }\left( I \right)\] and
\[x2\text{ }+\text{ }y2\text{ }=\text{ }8\text{ }\ldots \text{ }.\text{ }\left( ii \right)\]
Distinctive condition (I) w.r.t., x
Accordingly, the resource of the two circles are \[\left( 2,\text{ }2 \right)\text{ }and\text{ }\left( -\text{ }2,\text{ }2 \right).\]