Circle as Locus of a Right Angle

Rarely Tested

Circle as Locus of a Right Angle

For fixed points $$a$$ and $$b$$, the locus of points $$p$$ satisfying:

$$\angle APB=\frac\pi2$$

is the circle with $$AB$$ as diameter.

Usage

- Used to convert a right-angle condition into a circle equation.

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