The correct answer is option 1, which states that two magnetic field lines produced by the same source never intersect.

Magnetic field lines are used to represent the direction and strength of a magnetic field. They are continuous curves that follow the path of the magnetic field from its source, such as a magnet or a current-carrying wire.

Since magnetic field lines represent the direction of the magnetic field, two field lines that intersect would imply that the magnetic field is pointing in two different directions at the same point. This is not possible because a magnetic field has a single direction at any given point. Therefore, two magnetic field lines produced by the same source never intersect.

Option 2 states that the field lines can originate from the same point. This is incorrect because field lines cannot originate from a single point. They always have to form continuous loops or curves.

Option 3 states that the field lines can terminate at the same point. This is also incorrect because magnetic field lines are always closed loops. They do not terminate at any point.

Option 4 states that the field lines can intersect depending on the situation. This is incorrect because, as mentioned earlier, magnetic field lines never intersect.