AMC 10 Step by Step
2018 AMC 10AProblem 21P21-25~5 minPrint

Which of the following describes the set of values of aa for which the curves x2+y2=a2x^2+y^2=a^2 and y=x2ay=x^2-a in the real xyxy -plane intersect at exactly 33 points?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.