The correct answer is: c) Anna Dravida Munnetra Kazhagam (AIADMK).
The AIADMK was formed in 1972 by M.G. Ramachandran, a popular actor and politician, after a split in the DMK. The AIADMK quickly became one of the major political parties in Tamil Nadu, and has been in power for most of the time since its formation.
The DMK was formed in 1949 by C.N. Annadurai, a Tamil writer and politician. The DMK was initially a socialist party, but it later adopted a more centrist ideology. The DMK has been in power in Tamil Nadu for a few brief periods, but it has been the main opposition party for most of the time since its formation.
The BJP is a right-wing political party that was formed in 1980. The BJP is the ruling party at the national level in India, but it has never been in power in Tamil Nadu.
The PMK is a regional political party that was formed in 1989. The PMK is a caste-based party that represents the Vanniyars, a dominant caste in Tamil Nadu. The PMK has never been in power in Tamil Nadu.