# Playing with circles

Geometry Level pending

Consider two circles $$S$$ and $$R$$. Let the center of circle $$S$$ lie on $$R$$. Let $$S$$ and $$R$$ intersect at $$A$$ and $$B$$. Let $$C$$ be a point on $$S$$ such that $$AB=AC$$. Then must the point of intersection of $$AC$$ and $$R$$ lie in $$S$$?

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