Hello Aspirant,
According to the category rank you have mentioned in the question you cannot get any of the NITs as per previous year's cut-offs even after considering your Home state quota but yes I would suggest you to take a drop for this year and prepare for JEE-Main 2021 and to help you with your preparation we have some resources made by our experts which you can access from the link given below :-
https://learn.careers360.com/knockout-jee-main-april/?product=27&icn=knockout-jee-main-2021-january&ici=
Now if you can't afford to take a drop than sit for some state counselling because in some of the state government colleges you can get admission on such low ranks.
Note that the cut-offs are bound to change every year depending upon various factors.
So you can use JEE-Main College Predictor to predict your chances of admission in different engineering colleges of India :-
https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer
I hope this information helps you.
Good Luck!!
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