So, you just posted it again, without trying to solve it?
As it turns out, the intersection points I calculated do not in fact exist, since the two circles do not intersect at all.
See the plot at
www.wolframalpha.com/input/?i=plot+%28x-1%29%5E2+%2B+%28y-3%29%5E2+%3D+1%2C+%28x-2%29%5E2+%2B+%28y-4%29%5E2+%3D+9
So, I guess I need to figure out how I got those two points. In the meantime, maybe you should come up with circles that do in fact intersect.
The equation of circle passing through
intersection points of two circles is given by S₁ + lamda S₂ = 0 (where S 1 and S2 are the equations of given circle)
The equation of circle passing through the intersection points of the circles
x² + y² - 2x - 6y + 9 = 0 and
x^2 + y^2 - 4x- 8 y + 11 = 0
which also passes through origin is
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