Explanation:

- The Jawaharlal Nehru Manipur Dance Academy is a prestigious institution dedicated to preserving and promoting Manipuri dance.

- It was established to provide training in the various classical dance forms originating from the state of Manipur.

- Option 1: Guwahati - This city is known for its cultural heritage, but it is not where this academy is located.

- Option 2: Bengaluru - While it is a hub for arts and culture, the academy is not based here.

- Option 3: Imphal - This is the correct location. Being the capital of Manipur, it hosts this renowned dance academy.

- Option 4: Hyderabad - This city is another significant cultural center, but the academy is not situated here.