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2017 AMC 10A Problems/Problem 17

Revision as of 17:58, 8 February 2017 by Drakodin (talk | contribs) (Created page with "==Problem 17== Distinct points <math>P</math>, <math>Q</math>, <math>R</math>, <math>S</math> lie on the circle <math>x^2+y^2=25</math> and have integer coordinates. The dista...")
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Problem 17

Distinct points $P$, $Q$, $R$, $S$ lie on the circle $x^2+y^2=25$ and have integer coordinates. The distances $PQ$ and $RS$ are irrational numbers. What is the greatest possible value of the ratio $\frac{PQ}{RS}$?

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