The correct options are
A →E≠0,→B≠0
C →E=0,→B=0
D →E=0,→B≠0
If a charged particle is moving in a gravity-free space without changing its velocity, then three cases possible
(i) Particle can move with constant velocity in any direction, if →E=0,→B=0.
(ii) If →E ,→B are having values such that qE=qvB and hence both forces (Force due to magnetic field and force due to electric field) acts in such a way that they cancel each other, in this case also particle can move with uniform velocity.
(iii) If →E=0,→B≠0 and →B is such that it acts in the direction of velocity then magnetic force would be zero and hence velocity can remain constant.