## Quadratic Circle

#### Problem

The quadratic curve, `y` = `x`^{2}`bx``c`, where `b`,`c` ^{⊕}, 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