Answer
given,
A = −4 + 5i and B = 4 − 10i.
midpoint of the complex number
[tex]m = \dfrac{-4+4}{2} +\dfrac{5-10}{2}i[/tex]
m = 0 -2.5 i
m = - 2.5 i
distance between point A and B
AB = (-4-4) + (5-(-10))i
AB = -8 + 15 i
distance
= [tex]\sqrt{-8^2+15^2}[/tex]
= [tex]\sqrt{64+225}[/tex]
= [tex]\sqrt{289}[/tex]
AB = 17