Equation of Ellipse in Complex Plane/Examples/Foci at (2, -3), (-2, 3), Major Axis 10
Jump to navigation
Jump to search
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 $\tuple {2, -3}$.
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Supplementary Problems: Graphical Representation of Complex Numbers. Vectors: $73 \ \text {(d)}$