The correct answer is (b), Lucknow.
The National Kathak Institute is a government-run institute for the training of Kathak dancers. It was established in 1956 by the Sangeet Natak Akademi, India’s national academy for performing arts. The institute is located in Lucknow, the capital of Uttar Pradesh.
Lucknow is a city in northern India that is known for its rich culture and history. It is also the birthplace of Kathak, one of the most popular classical dance forms of India. The National Kathak Institute is one of the most prestigious institutions for the study of Kathak. It offers a variety of courses and programs for students of all levels, from beginners to advanced. The institute also has a strong research component and is involved in the documentation and preservation of Kathak dance.
Agra is a city in northern India that is famous for the Taj Mahal, a white marble mausoleum built by Mughal emperor Shah Jahan in memory of his wife Mumtaz Mahal. Agra is also home to several other historical monuments, including the Agra Fort and the Jama Masjid.
Kanpur is a city in northern India that is known for its leather industry. It is also the second largest city in Uttar Pradesh after Lucknow. Kanpur is home to several educational institutions, including the Indian Institute of Technology Kanpur and the University of Kanpur.
Varanasi is a city in northern India that is considered to be one of the holiest cities in Hinduism. It is also known for its silk industry and its many temples. Varanasi is a popular tourist destination.