Hello, 

These are some of the institutions that offer ux design course in india:

• Mit Institute Of Design - MITID
• Pearl Academy Delhi
• Arena Animation
• ICAT - Icat Design And Media College
• Pearl Academy Mumbai
• Quantum School of Media Studies and Design 
• Pearl Academy Noida
• Anant National University etc., 

To get more information regarding the colleges  please go through the following link 

https://www.shiksha.com/design/communication-design/colleges/ui-ux-colleges-india