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2017 AMC 10A Problem 17

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2017 AMC 10A Problem 17AMC 10 Step by Step
Name:                             Date: September 13, 2026
Coordinate Geometry · difficulty 3 of 5 · about 5 min · position P16-20

Distinct points PP , QQ , RR , SS lie on the circle x2+y2=25x^2+y^2=25 and have integer coordinates. The distances PQPQ and RSRS are irrational numbers. What is the greatest possible value of the ratio PQRS\frac{PQ}{RS} ?

  1. A)

    33

  2. B)

    55

  3. C)

    353\sqrt{5}

  4. D)

    77

  5. E)

    525\sqrt{2}

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