On Sep 26, 8:27 pm, "Brad Cooper" <Brad.Cooper...@bigpond.com> wrote: > Complex Numbers - Argand Diagram Question > > 21. If the complex numbers z_1, z_2, z_3 are connected by the relation > > 2/z_1 = 1/z_2 + 1/z_3 > > show that the points Z1, Z2, Z3 representing them in an Argand diagram lie > on a circle passing through the origin. > > Note: _1, _2, _3 denote subscripts.
How about this: Any three non-colinear points in the plane determine a circle. Show that these three are non-colinear. Find the center of the circle. Find its radius. Show that 0 is on the circle.