what is the name given to the curve the tangent to be at any point gives the  direction of the magnetic field at that point ? can two such curve intersect each other
 

Dear Student , The curve is known as magnetic field lines . The two magnetic field lines can never intersect each other because two tangents can be drawn from that point of intersection which will give two directions of the field from the same point,which is impossible.So, the two magnetic field lines can never intersect each other. Regards !