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MathNet 2015-part-04 — 191 problems (EN–VI) Question 143

Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)

Question 143

Determine the complex numbers $z$ for which
$$
|z|+|z-5 i|=|z-2 i|+|z-3 i|.
$$