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Complex mapping

How do I map |z|=1 to an ellipse? Given that w=z+ c/z ?
I keep on getting a circle instead, can someone please help?
I got u^2+v^2=(1+c)^2 so far idk if I got it wrong or not
(edited 5 years ago)
Are you sure it’s an ellipse? If the modulus of z is 1 then the distance from the origin must be 1 at any given point along the locus and i would’ve thought this would give a circle
umm yeah the question says its an ellipse, i assume they don't imply circle is a special case of ellipse?
Original post by Foreverton
Are you sure it’s an ellipse? If the modulus of z is 1 then the distance from the origin must be 1 at any given point along the locus and i would’ve thought this would give a circle
Original post by Iconic_panda
umm yeah the question says its an ellipse, i assume they don't imply circle is a special case of ellipse?


Technically a circle is an ellipse so may just be saying that to throw you off
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Cat?
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idk but I got the same equation for the circle.

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