Find the set of points satisfying the equation in the complex variable z: |z* + 2i| = |F(z – 3i)| where z* is the complex conjugate of z. Describe and sketch what kind of curve(s) you obtain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20RE
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Find the set of points satisfying the equation in the complex variable z:
|z* + 2i| = |F(z – 3i)|
where z* is the complex conjugate of z.
Describe and sketch what kind of curve(s) you obtain.
Transcribed Image Text:Find the set of points satisfying the equation in the complex variable z: |z* + 2i| = |F(z – 3i)| where z* is the complex conjugate of z. Describe and sketch what kind of curve(s) you obtain.
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