which state does the place belong to?
Tamil Nadu.
Kanchipuram
Kanchipuram, also known as Kānchi ('; ) or Kancheepuram, is a temple city in the Indian state of Tamil Nadu 
how did kanchipuram get its name? From Tamil words  "Ka" meaning Brahma &"anchi" meaning worship, showing that Kanchi stands for the place where Lord Varadharaja Perumal Temple was worshipped by Lord Brahma.
wiki:6902006
Kanchipuram [SEP] Introduction
Kanchipuram, also known as Kānchi ('; ) or Kancheepuram, is a temple city in the Indian state of Tamil Nadu in Tondaimandalam region, from Chennaithe capital of Tamil Nadu. The city covers an area of and had a population of 164,265 in 2011. It is the administrative headquarters of Kanchipuram District. Kanchipuram is well-connected by road and rail. Kanchipuram is a Tamil word formed by combining two words "Kanchi" and "-puram" meaning "Brahma" and "residential place" respectively and located on the banks of the Vegavathy river. Kanchipuram has been ruled by the Pallavas, the Medieval Cholas, the Later Cholas, the Later Pandyas, the Vijayanagara Empire, the Carnatic kingdom, and the British, who called the city "Conjeeveram".