Equation of Ellipse in Complex Plane/Examples/Foci at (2, -3), (-2, 3), Major Axis 10

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Example of Equation of Ellipse in Complex Plane

The inequality:

$\cmod {z + 2 - 3 i} + \cmod {z - 2 + 3 i} < 10$

defines the inside of the ellipse in the complex plane whose major axis is of length $10$ and whose foci are at the points corresponding to $\tuple {2, -3}$ and $\tuple {2, -3}$.


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