In GENERAL, within a two-dimensional plane, for any given line l and a point A, (which is not on l) How many lines can be drawn through A that does not intersect l ?

This question tests knowledge of different geometric systems and their parallel postulates. In Euclidean geometry (flat plane), exactly 1 line through point A is parallel to line l. In spherical geometry (Riemannian), no parallel lines exist (0). In hyperbolic geometry (Lobachevskian), infinitely many parallel lines exist. Thus all options are correct depending on the geometry.