Magnetic line of force coming from a Magnet cannot intersect at all. If field lines ever intersect at any point, there will be two tangents to the field line curve at that Point, which is contradictory, as there can only be one net magnetic field vectorhaving only one direction at any point in space.
If Magnetic field line intersect at point there would be two direction of magnetic field force which means at the Point of intersecting the compass needle is showing two different direction which is not possible.