can i do btech and mtech in nanotechnology in less fees. Can i do it with IIT bombay or guwhati?
Yes definitely! The only bottleneck is that the Indian Institute of Technologies do not offer a Bachelor of Technology course in Nanotechnology. However you can do the course as a Master of Technology degree or MTech degree at a very low price for which Indian Institute of Technologies are famous for. Moreover you'll also get a fellowship amount (around 30,000) each month as a MTech student at the IITs, so it's a great deal for you.
Hope I have answered your question. All the best!