Question 100331
In the coordinate plane, the points F(-2,1), G(1,4), and H(4,1) lie on a circle with center P.  What are the coordinates of point P?
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Procedure:
Find the equation of the perpendicular-bisector of line segment FG.
Find the equation of the perpendicular-bisector of line segment GH.
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Find the intersection of those two equations.
That is the center of the circle.
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Cheers,
Stan H.