Question

Find the midpoint between A and B, given that A=(-1,+9i) and B=(5-3i)

Answer 1

2 + 3i, midpoint is (2,3)

Explanation:

we need to find the midpoint between (-1+9i) and B=(5-3i)

To find the midpoint of two points (a+bi) and (c+di) in a complex plane,

we apply formula

`(a+c)/(2) + (b+d)/(2) i`

A = (-1+9i) and B=(5-3i)

Midpoint for AB is

`(-1+5)/(2) + (9+(-3))/(2)i`

`(4)/(2) + (6)/(2)i`

2 + 3i , so midpoint is (2,3)