Explanation:

- Option 1: Magnetic field lines produced by the same source never intersect. Field lines represent the direction of the magnetic field at any point, and intersecting lines would imply two possible directions at a single point, which is not possible.

- Option 2: Field lines can originate from the same point if the source is like a magnetic pole, as lines emanate outwards.

- Option 3: Field lines can terminate at the same point in the case of a magnetic sink, like another magnetic pole.

- Option 4: Field lines do not intersect, regardless of the situation, since this would contradict the fundamental properties of vector fields.