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SE-SKOLORNAS 2002 Problem 3

    CC is the circle center (0,1)(0,1) , radius 11 . PP is the parabola y=ax2y = ax^2 . They meet at (0,0)(0, 0) . For what values of aa do they meet at another point or points?

    Dataset text AI-MO AoPS. Quoted with source.

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