A charged particle is fired at an angle θ to a uniform magnetic field directed along the x-axis. During its motion along a helical path, the particle will

When the particle moves in a helical path, at any instant of time one component of its velocity is parallel to the x axis and the other component is always perpendicular to the x axis .Therefore the angle between its velocity vector and x axis is never equal to 900 or 00. Hence, options (1) and (4) are correct.