2014 AIME I Problems/Problem 7
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Problem 7
Let 
and 
be complex numbers such that 
and 
. Let 
. The maximum possible value of 
can be written as 
, where 
and 
are relatively prime positive integers. Find 
. (Note that 
, for w 
, denotes the measure of the angle that the ray from 
to makes with the positive real axis in the complex plane.
Solution
See also
| 2014 AIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
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