Difference between revisions of "2022 AIME II Problems/Problem 12"
(Undo revision 188789 by Jacob3abraham (talk)) (Tag: Undo) |
(Undo revision 188791 by Jacob3abraham (talk)) (Tag: Undo) |
||
| Line 1: | Line 1: | ||
| − | |||
| − | |||
| − | |||
| − | |||
==Problem== | ==Problem== | ||
Revision as of 12:14, 7 February 2023
Problem
Let 
and 
be real numbers with 
and 
such that![\[\frac{x^2}{a^2}+\frac{y^2}{a^2-16}=\frac{(x-20)^2}{b^2-1}+\frac{(y-11)^2}{b^2}=1.\]](http://latex.artofproblemsolving.com/c/5/e/c5e3bf454b8347b6d4c3d8441be9334a5b2ea1c3.png)
Find the least possible value of 
Video Solution
~MathProblemSolvingSkills.com
Video Solution
See Also
| 2022 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
