Question 4. Let a € C be such that |a| € (0, 1). Show that the equation |za| = |1 - āz| is equivalent to the equation |z| = 1. (Remark: therefore the locus of the first equation is a circle).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Question 4. Let a € C be such that |a| € (0, 1). Show that the equation
|za| = |1 - āz|
is equivalent to the equation
|z| = 1.
(Remark: therefore the locus of the first equation is a circle).
Transcribed Image Text:Question 4. Let a € C be such that |a| € (0, 1). Show that the equation |za| = |1 - āz| is equivalent to the equation |z| = 1. (Remark: therefore the locus of the first equation is a circle).
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