SAT Math Practice Question #23500 - SATify | SATify

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SAT Math Practice Question #23500 - SATify | SATify

#23500

geometry

circles

hard

150 sec

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 rational numbers. What is the greatest possible value of the ratio $\frac{PQ}{RS}$ ?

A.

$\frac{4}{3}$

B.

$\frac{3}{2}$

C.

$\frac{5}{3}$

D.

$2$

E.

$\frac{7}{3}$