Suppose there is a complex number z = x+yi, represented by a point, P in the complex plane. If there exists a complex number w = [tex]\frac{z-8i}{z-6}[/tex] such that Re(w) and z does not equal 6, show that the set of all possible points P form a circle on the complex plane (hint: all circles can be written as (x - h)2 + (y - k)2 = r2,
where the center of the circle is the point (h,k), and the radius is r).