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Quadratic Circle

Problem

The quadratic curve, y = x2minusbxminusc, where b,c is in the set , is drawn and the points of intersection with the axes are labelled, A, B, and C. A circle is drawn through the points A, B, and C, and a fourth point D is created on the y-axis.


Find the co-ordinate of D.

Problem ID: 168 (Apr 2004)     Difficulty: 4 Star

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