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Omni-MATH / Two given circles intersect in two points P and Q . Show how to construct a segment AB passing through P and terminating on the two circles such that AP⋅PB is a maximum. [asy] size… · Discussion

Discussing Two given circles intersect in two points P and Q . Show how to construct a segment AB passing through P and terminating on the two circles such that AP⋅PB is a maximum. [asy] size… · Omni-MATH

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