Question

What's the midpoint of (-2 - 3i) and (3 + 9i)?

A) (-0.5 + 3i)
B) (0.5 - 3i)
C) (0.5 + 3i)
D) (-0.5 - 3i)

Answer 1

The midpoint between the complex numbers (-2 - 3i) and (3 + 9i) is (0.5 + 3i).

Step-by-step explanation:

To find the midpoint between two complex numbers, we average the real parts and the imaginary parts separately. Given the complex numbers (-2 - 3i) and (3 + 9i), the midpoint would be:

Real part: (-2 + 3)/2 = 0.5

Imaginary part: (-3 + 9)/2 = 3

Therefore, the midpoint is (0.5 + 3i), which corresponds to option C.