The given endpoints which are in imaginary number can be
written in Cartesian coordinates form as:
–10 – 1 i = (- 10, - 1)
6 + 11 i = (6, 11)
Since we know that these are the endpoints of the diameter,
then this must mean that the center of the circle is the point located in the
middle of the endpoints. So we use the middle distance formula to calculate for
the coordinates of the center:
x = (-10 + 6) / 2 = - 4 / 2 = -2
y = (- 1 + 11) / 2 = 10 / 2 = 5
So the center is located at:
(- 2, 5)
