Show that the points of intersection of a circle in the
Chapter 23, Problem 12E(choose chapter or problem)
Show that the points of intersection of a circle in the plane of a field F and a line in the plane of F are points in the plane of F or in the plane of \(F(\sqrt \alpha)\), where \(\alpha \in F\) and \(\alpha\) is positive. Give an example of a circle and a line in the plane of Q whose points of intersection are not in the plane of Q.
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