Maximise sum distances unit circle

1550AdeptComplex NumbersOptimization

Irska 2014 · 2014

Let $0 < a < 1$ be a real number. What point $z$ on the upper half of the unit circle in the complex plane maximises the sum $|z + a| + |z - a|$?

0 students attempted0% solvedRating 1550

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1550AdeptComplex NumbersOptimization

Irska 2014 · 2014

Let $0 < a < 1$ be a real number. What point $z$ on the upper half of the unit circle in the complex plane maximises the sum $|z + a| + |z - a|$?

0 students attempted0% solvedRating 1550