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# Circle and Parabola

Pro Problems > Math > Geometry > Analytic Geometry > Circles

## Circle and Parabola

The center of a circle lies at the focus of a parabola. The circle is tangent to the parabola's directrix.  The circle and the parabola intersect at the points (-7, 6) and (5,6).  Find all possible centers of the circle.

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Problem by Mr. Twitchell

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