Hey there,

With this much rank in jee mains examination the chances of yours getting the seat in EEE branch at any NIT is very low. In my opinion you should apply for branches like civil or chemical engineering. For getting more details about the colleges that you can get through jee mains, check the link below :

https://engineering.careers360.com/jee-main-college-predictor?utm_source=google-search&utm_medium=paid&utm_campaign=jeemain-clgpd

Good luck !