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What does the equation |z+4i|+|z4i| represents on the complex plane C ? Sketch the set it represents on the the complex plane. Mark the important points and lines related to the set including the center, vertices, focuses, or directrix if there are any. Explain your answer. = 10

What does the equation |z+4i|+|z4i| represents on the complex plane C ? Sketch the set it represents on the the complex plane. Mark the important points and lines related to the set including the center, vertices, focuses, or directrix if there are any. Explain your answer. = 10

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What does the equation |z+4i|+|z4i| = 10 represents on the complex plane C ? Sketch the set it represents on the the complex plane. Mark the important points and lines related to the set including the center, vertices, focuses, or directrix if there are any. Explain your answer.
Transcribed Image Text:What does the equation |z+4i|+|z4i| = 10 represents on the complex plane C ? Sketch the set it represents on the the complex plane. Mark the important points and lines related to the set including the center, vertices, focuses, or directrix if there are any. Explain your answer.
Expert Solution
Step 1: Given

The given equation is 

open vertical bar z plus 4 i close vertical bar plus open vertical bar z minus 4 i close vertical bar equals 10.

To find the figure represented by the equation and to sketch it.

To mark the important lines, points, the center, vertices, focus or directrix if there is any.


steps

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