Art of Problem Solving

2024 AIME I Problems/Problem 9: Difference between revisions

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==See also==
==See also==
{{AIME box|year=2024|n=I|num-b=6|num-a=8}}
{{AIME box|year=2024|n=I|num-b=8|num-a=10}}


{{MAA Notice}}
{{MAA Notice}}

Revision as of 14:04, 2 February 2024

Problem

Let $A$, $B$, $C$, and $D$ be point on the hyperbola $\frac{x^2}{20}- \frac{y^2}{24} = 1$ such that $ABCD$ is a rhombus whose diagonals intersect at the origin. Find the greatest real number that is less than $BD^2$ for all such rhombi.

See also

2024 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
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. Error creating thumbnail: File missing