Hi

With your rank, your chances of getting a seat in NIT, IIITs is low.

But  yes, as per past year trend,

You  have chances in government engineering college, some of which are listed below along with  their previous year cutoff link :-

------) Dr APJ Abdul Kalam UIT Rajiv Gandhi Proudyogiki Vishwavidyalaya, Jhabua :- https://www.careers360.com/colleges/dr-apj-abdul-kalam-uit-rajiv-gandhi-proudyogiki-vishwavidyalaya-jhabua/cut-off

-------) Vikram University, Ujjain :- https://www.careers360.com/university/vikram-university-ujjain/cut-off

-------) Institute of People's Science and Technology, Chitrakoot :- https://www.careers360.com/colleges/institute-of-peoples-science-and-technology-chitrakoot/cut-off

To help you get the complete list of colleges on the basis of the category you belong to,  your home state, your gender etc, we have jee main college predictor, the link for which  is provided below

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Thank you