A catheter is made by coextruding first and second molten polymers, wherein the second molten polymer forms a flexible inner core and the first molten polymer forms exactly two bands on opposite sides of the inner core. The inner core is braided, and a third molten polymer extruded onto the braid to form a flexible jacket that encloses the braid, the bands and the inner core. The bands are more rigid than the inner core, and they provide preferential in-plane bending.