It depends on your category(general, OBC, SC/ST, etc).  If general, OBC chances of getting into NIT's is less, you might get into new NIT's but not the generally desired branches like CSE,MECH,ECE,EEE,etc,

else if SC/ST you can get into a good NIT and desired Branch.

You can get NIT upto final round of counseling. For getting admission into NIT you should choose Branch other than core branch.

It also depends upon Homestate criteria.

dear satya prakash

congratulations for scoring good rank in jee mains and as based on that you have chances and eligible to get in top nits near to andhra pradesh like nit tadepalligudem,nit warangal for more info go through career360 thank you