The recognized agents of parties by whom such appearances, applications and acts may be made or done are—

(a) persons holding powers-of-attorney, authorising them to make and do such appearances, applications and acts on behalf of such parties;

(b) persons carrying on trade or business for and in the names of parties not resident within the local limits of the jurisdiction of the Court within which limits the appearance, application or act is made or done, in matters connected with such trade or business only, where no other agent is expressly authorised to make and do such appearances, applications and acts.