An important manual on regional dance from Rajasthan is -
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Associate major patrons of art and their works with their respective regions. Maharana Kumbha of Mewar (Rajasthan) was a great builder and scholar, and his Nṛtyaratnakośa is a key text to remember in this context.
Step 1: Identify the Objective: The inquiry seeks to pinpoint a dance treatise originating from or pertaining to the Rajasthan region. Step 2: Analyze Options: 1. Nrttyaratnāvalī: Authored by Jayapa Senani in the 13th century, this text covers dance forms of the Deccan region. 2. Govind Sangīta Līlā: While the name suggests a Rajasthan connection, it is not a recognized treatise on Rajasthani dance. 3. Nṛtyaratnakośa: This 15th-century work by Maharana Kumbha of Mewar (Rajasthan) is a significant source detailing regional dance practices and is crucial for understanding Rajasthani dance history. 4. Hastamuktāvalī: This treatise focuses on hand gestures (\textit{hastas} or \textit{mudras}) in dance and is linked to Assamese classical dance traditions. Step 3: Conclude: The Nṛtyaratnakośa by Maharana Kumbha stands out as the relevant Rajasthani dance manual among the provided choices. Hence, option (3) is the correct selection.