This is a very interesting question. If you want to pursue robotics further, then for now you can do either mechanical engineering from IITM, or ECE or Electrical Engineering from any Indian Institute of Technology. Nowadays there is a much better branch for UG which is Data Science and Artificial Intelligence and many good IITs like IIT Guwahati, IIT Bhilai, IIT Hyderabad and IIT Jodhpur offer it.

Going for an AI degree nowadays will be a better option that traditional branches like Mechanical due to the competitive edge they provide.

You can also use our college predictor to see your chances in all the colleges:
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope I have answered your question. All the best!