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Topic: Complex Numbers - Argand Diagram Question
Replies: 3   Last Post: Sep 27, 2011 12:48 PM

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Robert H. Lewis

Posts: 58
From: New York
Registered: 12/4/04
Re: Complex Numbers - Argand Diagram Question
Posted: Sep 27, 2011 12:39 AM
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On Sep 26, 8:27 pm, "Brad Cooper" <> 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.

Robert H. Lewis
Fordham University

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