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Three
Two intersecting lines can always cover three non-collinear points.
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
None. In ordinary geometry, a line contains an infinite number of points and, by definition, they are all collinear. In projective geometry, however, you can have three lines in the form of a triangle. Each line has only two points on it, so it cannot have 3 points collinear.
7.