Explanation:

All the statements given above are correct.
The Sangeet Natak Academy was the first national academy set up for the Arts by the Government of India in 1952. The major focus of the academy was to create a set-up for music, drama and dances in India.
The academy functions as the apex body of the performing arts in the country to preserve and promote the vast cultural heritage of India expressed in music, dance and drama. It also works with governments and art academies in states and territories of the country.
SNA established several institutions over the years:
Manipur Dance Academy, Imphal
Sattriya Centre
Kathak Kendra (National Institute of Kathak Dance), New Delhi in 1964
Ravindra Rangshala

In addition, the Akademi :
Subsidizes the work of institutions engaged in teaching, performing or promoting music, dance, or theatre
Gives grants to aid research, documentation and publishing in the performing arts
Organises and subsidises seminars and conferences of subject specialists