Question: plotting regions of the complex plane

Is there a way that I can plot this in Maple?

The question is:

Shade the region of the complex plane for which  (I*z-1)/(z-I)  is real.

This is real when x2 + y2 = 1 and (x,y) ≠ (0,1). How can I plot both of these things on one plot in Maple?

 

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Carrie Howells, Instructional Support Coordinator
Mathematics Faculty Computing Facility
University of Waterloo
MC 3054, 519-888-4567 x36272

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