Infinitely many.
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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?
Infinitely many. There an infinite number of points on a line and each point can be an end point of two rays.
They have one point in common.
Radiation is suitable for locating the objects from a single point , while Intersection is suitable for the inaccessible points by intersection of rays drawn from two instrument stations.
Two rays starting at a common point form an angle.