Under a Municipal Annexation Law Enacted by the Legislature in 1963

Under a municipal annexation law enacted by the legislature in 1963 in an attempt to assist cities grappling with suburban sprawl,which of the following statements is not true?

A) Cities have extraterritorial jurisdiction,or limited authority,outside their city boundaries.
B) Within the extraterritorial jurisdiction,a home-rule city could regulate some aspects of development.
C) Within the extraterritorial jurisdiction,a home-rule city could annex contiguous unincorporated areas without a vote by those who live there.
D) Within the extraterritorial jurisdiction,incorporated areas could not be annexed without consent of their residents.
E) Within the extraterritorial jurisdiction,cities have unlimited authority outside their city boundaries.