(b) No motor vehicle shall be or continue to be registered in the name of any person required to file proof of financial responsibility unless such motor vehicle is so designated in such a certificate.
(c) When a person has been required to furnish proof of a financial responsibility and there has been in effect a motor vehicle liability policy for his benefit for a period of three years, during which period such person or any vehicle registered in his name has not been involved in any accident upon which a report is required pursuant to section six hundred five hereof, such person may file in lieu thereof, the written certificate of any insurance carrier duly authorized to do business in this state, certifying that there is in effect a standard provisions automobile liability policy in form approved by the superintendant of financial services with a limit of liability no less than provided in subdivision (a) of section three hundred thirty-five of this law.