Answer:
center of the circle is 1+10i
Step-by-step explanation:
The end points of the diameter are 5 + 18i and -3 + 2i.
We know that the center of the circle is the mid point of the diameter.
Thus, in order to find the center of the circle we find the mid point of the diameter.
The mid point of the diameter with endpoints 5 + 18i and -3 + 2i is given by
[tex]\text{Center}=\frac{5-3}{2}+\frac{18i+2i}{2}\\\\\text{Center}=1+10i[/tex]
Thus, the center of the circle is 1+10i
