Question

Find the midpoint between the complex numbers. z1 = 5 - 2i z2 = 8 + i

(-1.5, -5)
(6.5, 1.5)
(6.5, -0.5)
(13,-1)

Answer 1

The given complex numbers are
`z_1 = 5-2i` and
`z_2 = 8+i`.

For given two complex numbers
`z_1 = x_1+iy_1` and
`z_2 = x_2+iy_2`, the midpoint is given by the formula
`((x_1+x_2+y_1+y_2)/(2))`

So, midpoint =
`(5+8-2i+i)/(2)`

=
`(13-i)/(2)`

=
`{6.5-0.5i}`

Hence, the midpoint of the given complex numbers is (6.5, -0.5)

Option 3 is the correct answer.