An applicant for registration or recognition to practice before the Office, or a practitioner in connection with an application for registration or recognition, or a practitioner in connection with a disciplinary or reinstatement matter, shall not:

(a) Knowingly make a false statement of material fact; or

(b) Fail to disclose a fact necessary to correct a misapprehension known by the person to have arisen in the matter, fail to cooperate with the Office of Enrollment and Discipline in an investigation of any matter before it, or knowingly fail to respond to a lawful demand or request for information from an admissions or disciplinary authority, except that the provisions of this section do not require disclosure of information otherwise protected by § 11.106.