Lesson: Equation of a Circle Passing through Three Noncollinear Points

In this lesson, we will learn how to find the equation of a circle passing through three noncollinear points that form a right triangle.

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Q1:

Find the equation of the circle that passes through the points , , and .

Q2:

Determine the general equation of the shown circle passing through the origin point and the two points and .

Q3:

Find the general equation of the circle through the origin that also passes through and .

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