Question

A circle has a diameter with endpoints at –2 + i and –6 –11i. What is the center of the circle?

–8 –10i
–4 – 5i
–2 – 6i
2 + i

Answer 1

`-4-5i`

Explanation:

The center is the midpoint of the diameter. So it is given by

`1/2{(-2+i)+(-6-11i)} = {-8-10i}/2=-4-5i`