Question

Given thre points A, B, C, where C is the midpoint of A and B

a. If A = −5 + 2i and C = 3 + 4i, find B.
b. If B = 1 + 11i and C = −5 + 3i, find A.

Answer 1

(a) Point B will be 11+6i

(b) Point B will be 11-5i

Explanation:

We have given
`A=-5+2i` and
`C=3+4i`

We have given that C is the midpoint of A and B

We know that mid point is given by

`C=(A+B)/(2)`

So
`3+4i=(-5+2i+B)/(2)`

`{-5+2i+B}=6+8i`

`B=11+6i`

(b)
`C=(A+B)/(2)`

`-5+3i=(1+11i+B)/(2)`

`-10+6i=1+11i+B`

`B=-11-5i`