# Math Help - Complex Functions Help

1. ## Complex Functions Help

Hello!

I need help with the following question:

Find the point of intersection and the angle of intersection of the straight lines

|z - 1 - j| = |z - 3 + j|

|z - 1 + j| = |z - 3 - j|

I have already found the point of intersection to be z = 2, i.e x=2,y=0. But I don't know how to find the angle of intersection.

All help is much appreciated. Thanks.

2. If you let $z=xi+yj$, plug into the given equations, you will find out that the straight lines are $y=x-2$ and $y=-x+2$. They are perpendicular to each other, hence the angle of intersection is 90.

3. Thanks for the help roy_zhang. Highly appreciated.