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M2_10_10_2_1

GeoGebra Construction:

10_2_1

Construct two circles and that have different centers. Construct a point P and calculate p(P,) and p(P,). Move P and determine by experimentation all points P for which p(P,)=p(P,). Make a conjecture about the shape of the set of such points. Do this for disjoint circles and for circles that intersect. Compare your results.

Solution: