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first find the points of intersection by equating two equations x^2+y^2-6x+8=x^2+y^2-6 6x=14 x=2.33
find the equation of the circle that passes through (2.33, 0) and (1,1)
equation (x-a)^2+(y-b)^2=r^2 a,b =1, 1 and the distance between the points will give you the radius r
I did it this way : tell me if i'm correct family of circles say S+xS'=0 => x^2 + y^2 - 6 + x(x^2 + y^2 - 6x + 8) =0 from there, I get x as 1, Which gives the equation as : 2x^2 + 2y^2 - 6x + 2 = 0 => x^2 + y^2 - 3x +1 =0 ,, IS THIS CORRECT??
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Looks good !
thanks!
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