Question

A circle has a diameter with endpoints at 3 – 5i and –8 + 2i. What is the center of the circle?

Answer 1

Option B.) (-5/2)(-3/2)i

Answer 2

So we got the real axis and the imaginary axis
we just need to find the average of the 2 points

remember
midpoint of (x1,y1) and (x2,y2) is

((x1+x2)/2,(y1+y2)/2)
so

average of 3 and -8 is -5/2
average of -5i and 2i is -3/2i

center is -5/2-3/2i