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Let a and b be distinct complex numbers on the unit circle. Find the maximum possible value of |a - b|.

 Jun 3, 2022
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Geometrically, |a - b| denotes the distance between the positions of a and b on the complex plane.

The problem translates to finding the maximum distance between two points on a unit circle, which is attained when a and b are endpoints of a diameter of the unit circle.

 

Can you take it from here?

 Jun 3, 2022

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