im still unsure about cWould the following working help?
This is a circle with centre the origin and the radius equal to the modulus of w, as follows:
View attachment 35507
This is a circle with centre w and the radius equal to twice the modulus of w, as follows:
View attachment 35508
This is the perpendicular bisector of the line segment through w and the origin, as follows:
View attachment 35509
Interpret this as |z-w| = |z-0|, which means the distance from w must be the same as the distance from the point 0. The midpoint of 0 and w (0.5 + 1.5i) is one such point, and it follows that the line perpendicular line passing through this point retains this property.im still unsure about c