Playing with circlesGeometry 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 \(S\)?