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

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

Puzzle Thoughts

| 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

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (0)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info