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Infinitely many.
No points can be drawn from a point.
It can be only 1 * * * * * Infinitely many concentric circles can be drawn.
that is impossible. if they aren't parrallel, and they're rays they have to intersect at some point. This is because rays spread at both ends. The above answer is only correct if the rays on drawn on the same plane or if they are drawn on convergent (intersecting) planes, so the correct answer is the two rays must be drawn on separate planes that are not convergent, since all non-parallel lines on the same plane, or on convergent planes, will eventually intersect. If they are drawn in 3 dimensions than you can avoid them intersecting. Perhaps the questions is not specific enough?
A line consists of infinitely many points which all satisfy some condition. In that respect, one point or even a trillion points do not make a line. There are infinitely many lines that can be drawn through one point.