(a) Except as provided in subsection (b) of this section, no person admitted as an elector after twelve o'clock noon on the last business day before a primary shall be permitted to vote in such primary.
(b) An applicant for admission or enrollment under section 9-26 shall be entitled to vote in a primary if he files his application for admission or enrollment with the town clerk before the day of the primary and is otherwise eligible to vote in the primary.