Locus of Centres of Circles Passing Through Two Fixed Points

Rarely Tested

Locus of Centres of Circles Passing Through Two Fixed Points

For fixed points $$a$$ and $$b$$, the centre $$p$$ satisfies:

$$PA=PB$$

Therefore, the locus is the perpendicular bisector of $$AB$$.

Usage

- Used in locus problems involving circles through two fixed points.

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