Hello.

Robotics is combination of CSE, electronic, mechanical. So mechatronics is the best suited for complete robotics.

Robotics Courses in India

Though there is not much in store for education in robotics as of now there are many M.Tech and Post graduate level options available in some premier institutes across India I will cover up a few details. You might have a doubt as to what should you do at B.Tech level? That is up to you! you should decide based on your interest as to if you want to be more mechanically involved or like taking up new problems and making Codes that can solve them or an electrical engineer to make additional things required by the Robot besides that you will also need to improve your skills in the other two also by doing additional homework! And then you will get your fundamentals strong so that you can then get into the Actual thing by getting Specialization in your choice of robotics (M.Tech) if possible try to get a B.Tech in Mechatronics as it falls closest to Robotics, but the sad part is none of the Seven IIT's provide Bachelors Degree in Mechatronics ! But there are some other institutes

List of colleges offering B.Tech Mechatronics engineering courses

College Name - University(State)
Bharath University - Bharath Institute of Higher Education & Research(Tamil Nadu)
Maharishi Markandeshwar Engineering College - Maharishi Markandeshwar University(Haryana)
Shanmugha Arts, Science, Technology & Research Academy - Shanmugha Arts Science Technology and Research Academy (SASTRA) University
(Tamil Nadu)
Sri Belimatha Maha Sahamsthana Institute Of Technology - Visvesvaraya Technological University (Karnataka)
Srm University,chennai - SRM University(Tamil Nadu)
Mahatma Gandhi Institute of Technology - CBIT(A.P)
Manipal University - Manipal University (Karnataka)
GCET - GCET (Gujarat)
Sardar Patel University - Sardar Patel University(Gujarat)

There are many more this is just a small list to get you thinking... 

Having a B.Tech degree in Mechatronics will be able to help you i.e. you will have no need to again try out the other parts of robotics as both Mechanics and Electronics will be involved in this branch of engineering

If you want the list of all colleges then go through this link

https://engineering.careers360.com/colleges/list-of-be-btech-in-automation-and-robotics-colleges-in-india

Hope this is helpful.

Good luck.