Circle with Given Diameter as a Locus

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Circle with Given Diameter as a Locus

For endpoints $$A(x_1,y_1)$$ and $$B(x_2,y_2)$$ of a diameter:

$$ (x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0 $$

Usage

- Used as the locus of points from which the segment $$AB$$ subtends a right angle.

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