Dear Student ,

Yes.. IITs and NITs are best institutes in India to pursue M.Tech as well as B.Tech and Research .. Well, there are four premium IITs which are better , IIT Bombay .. IIT Kharagpur .. IIT Madras and IIT Delhi .. After then NIT Trichy, Calicut and Rourkela are best for pursuing M.Tech

You can find the colleges that offers M.Tech from this link:

https://engineering.careers360.com/colleges/list-of-me-mtech-colleges-in-india

After IITs and NITs , IIITs are the best institutes .Some GFTIs are also good .

Well, all the IITs and NITs are good on the basis of Teaching Methodology , but as per the placement view .. you can consider the above review .

Hope this helps !