100percent
Member
- Joined
- Oct 28, 2004
- Messages
- 148
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- HSC
- 2005
Consider the complex function z → z + 1/z. Show that this function maps a circle of radius 2 centred at the origin in the z-plane, to an ellipse in the w-plane (where w = z + 1/z). Find the (Cartesian) equation of the ellipse.