Question: Set up and solve an appropriate system of linear equations to answer the questions. Through any three noncollinear points there also passes a unique circle.

Set up and solve an appropriate system of linear equations to answer the questions.

Through any three noncollinear points there also passes a unique circle. Find the circles (whose general equations are of the form x² + y² + ax + by + c = 0) that pass through the sets of points in Exercise 45. (To check the validity of your answer, find the center and radius of each circle and draw a sketch.)

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