Mathegoras

Complex numbers › The complex plane › Extremes of the modulus

Smallest modulus on a segment

High school · ●●●○○ 50 pts

Let zz be a complex number such that ∣z−12∣+∣z−5i∣=13|z - 12| + |z - 5i| = 13. Find the smallest possible value of ∣z∣|z|. Round to two decimal places.

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