Math Problem Statement
number of common solutions for |z-2i| = 2 and |z-1-3i| + | z+1-3i| = 2 root 2
Solution
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Geometric Interpretation
Ellipses
Circles
Formulas
|z - 2i| = 2 (circle equation)
|z - 1 - 3i| + |z + 1 - 3i| = 2√2 (ellipse equation)
Theorems
Geometric properties of ellipses and circles
Intersection of conic sections
Suitable Grade Level
Grades 11-12
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