In this lesson, we will learn how to find the equation of a circle passing through three noncollinear points that form a right triangle.
Students will be able to
Q1:
Find the equation of the circle that passes through the points 𝐴(−4,−3), 𝐵(−3,−4), and 𝐶(−2,−3).
Q2:
Determine the general equation of the shown circle 𝑀 passing through the origin point and the two points 𝐴(8,0) and 𝐵(0,−10).
Q3:
Find the general equation of the circle through the origin that also passes through (12,0) and (0,16).
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