In this note we prove two theorems which contribute towards the classification of line-transitive designs. A special class of such designs are the projective planes and it is this problem which the paper addresses. There two main results:- ¶ Theorem A: Let [math] act line-transitively on a projective plane [math] and let [math] be a minimal normal subgroup of [math] . Then [math] is either abelian or simple or the order of the plane is [math] or [math] . ¶ Theorem B: Let [math] be a classical simple group which acts line-transitively on a projective plane. Then the rank of [math] is bounded.