Answer:
[tex] {x}^{2} + {y}^{2} = 85[/tex]
[tex] {( \frac{ \sqrt{85} }{2}) }^{2} + {( \frac{ \sqrt{85} }{2}) }^{2} = [/tex]
[tex] \frac{85}{4} + \frac{85}{4} = \frac{85}{2} [/tex]
[tex] { ( - 6)}^{2} + {11}^{2} = 36 + 121 = 157[/tex]
[tex] {0}^{2} + {85}^{2} = 7225[/tex]
[tex] {11}^{2} + {6}^{2} = 121 + 36 = 157[/tex]
[tex] {7}^{2} + {( - 6)}^{2} = 49 + 36 = 85[/tex]
[tex] {( \sqrt{85}) }^{2} + {0}^{2} = 85 [/tex]
[tex] {6}^{2} + {7}^{2} = 49 + 36 = 85[/tex]
(7, -6), (√85, 0), and (6, 7) lie on this circle.
