Question

Find the midpoint between
14+ 11i
and
4-11i

Answer 1

Answer: The midpoint between
`14+11i` and
`4-11i` is
`9+0i`.

Explanation:

The midpoint of the two complex numbers
`(x_1,y_1)` and
`(x_2,y_2)` is calculated using the formula:
`((x_1+x_2)/(2),(y_1+y_2)/(2) )`.

The two given complex numbers are
`14+11i` and
`4-11i`.

Here,
`(x_1,y_1)=(14,11)`

`(x_2,y_2)=(4,-11)`

The midpoint of
`(14,11)` and
`(4,-11)` is given by,

`=((14+4)/(2),(11+(-11))/(2))\\\\=((18)/(2),(0)/(2))\\\\=(9,0)`

The midpoint is
`9+0i`.

Hence, the midpoint between
`14+11i` and
`4-11i` is
`9+0i`.