Answer:
Step-by-step explanation:
General equation of circle is ---------------------(1)
This circle passes through the given three points, (1,7) , (8,6) and (7,-1).
Substitute (1,7) in (1),
1 + =0
2g + 14f + c = -50 -------------(2)
Substitute (8,6) in (1),
16g + 12f + c = -100 -----------(3)
Substitute (7,-1) in (1),
14g - 2f + c = -50 ---------------(4)
Solving (2),(3) amd (4) simultaneously,
g = -4
f = -3
c = 0
Equation of circle is