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MathNet 2019-part-04 — 184 problems (EN–VI) Question 50

Math Olympiad Vault · MathNet 2019-part-04 — 184 problems (EN–VI)

Question 50

Determine the minimum value of the modulus of a complex number $z$ that satisfies the relation
$$
|z+12|+|z-5 i|=13
$$