Difference between revisions of "1992 AIME Problems/Problem 11"
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Revision as of 15:00, 11 March 2007
Problem
Lines 
and 
both pass through the origin and make first-quadrant angles of 
and 
radians, respectively, with the positive x-axis. For any line 
, the transformation 
produces another line as follows: is reflected in , and the resulting line is reflected in . Let 
and 
. Given that is the line 
, find the smallest positive integer 
for which 
.
Solution
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See also
| 1992 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
