The plans and recommendations, in connection with the proposed formation of a new unified school district to include within its boundaries a chartered city, may provide that the establishment and existence of the governing board of the district shall be governed by the charter of the city and not exclusively by general law. Upon adoption of plans and recommendations containing such provision, the establishment and existence of the governing board of the district shall thenceforth be governed exclusively by the city charter and the board shall be a city board of education of a chartered city. In the absence of such a recommendation, the proposed new unified district shall be governed by general law.