perplexus.info :: Just Math : Maximizing Complex Ratios

Maximizing Complex Ratios (Posted on 2024-06-14)

If z is a complex number such that |z|=3, then find the maximum value of the expression |z-i|/|z+1|.

No Solution Yet Submitted by Danish Ahmed Khan

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| Comment 2 of 3 |

The required maximum value is ~ 1.66225322815709.

Edited on June 14, 2024, 11:12 am

Posted by K Sengupta on 2024-06-14 11:12:37

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