Question

What is the midpoint of the segment that joins the complex numbers 7 + 3i and -5 – 8i?

A) 16+11/2i
B) (1,5/2)
C) 1- 5/2i
D) (-6, 11/2)

Answer 1

C)

Explanation:

The midpoint is the average of the two points.

Thus,

Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i