The correct answer is A) Telangana Sahitya Akademi.
Telangana Sahitya Akademi is a state-level academy for the promotion of Telugu language and literature. It was established in 1985 by the Government of Andhra Pradesh. The academy is headquartered in Hyderabad, Telangana.
The academy’s objectives are to promote Telugu language and literature, to encourage research in Telugu language and literature, to publish books and journals in Telugu language and literature, to organize literary events, and to provide financial assistance to Telugu writers and scholars.
The academy has a number of branches in different parts of Telangana. It also has a number of literary awards, which are given to Telugu writers and scholars for their outstanding work in Telugu language and literature.
The other options are incorrect because they are not institutions that promote Telugu language and literature.
B) Ravindra Bharathi is a cultural center in Hyderabad. It was established in 1960 by the Government of Andhra Pradesh. The center is named after the Telugu poet and writer Sri Sri.
C) Lalitha Kala Thoranam is a cultural center in Hyderabad. It was established in 1986 by the Government of Andhra Pradesh. The center is named after the Telugu poet and writer Sri Sri.
D) Shilparamam is a cultural village in Hyderabad. It was established in 1992 by the Government of Andhra Pradesh. The village is a replica of a traditional Telugu village.