Hello aspirant ,

To get a seat in any NIT college for CSE branch your rank should be under 2000 even if you belong from a reserved category

In this rank...you can't get any NIT college for CSE branch.....but yes you may have chances to get other branches like Biotechnology ,civil engineering , production engineering and likewise

You can check Last year JoSAA and CSAB counselling cut off of all NITs ,IIITs and GFTIs according to the counselling Rounds branch and category through the following links....

JoSAA counselling :

https://josaa.nic.in/Result/Result/currentorcr.aspx

CSAB counselling :

https://admissions.nic.in/csabspl/csabsplresult/result/CurrentORCR.aspx

(These are official links)

(Copy and paste this link in a new tab)

Also ,

You can predict all types of colleges according to your JEE MAINS rank, category and state through the following link.......

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

This college predictor will give you a personalized prediction with top to lower colleges in which you have chances for admission ,with the help of predicted colleges you can make better choice while filling your choices of colleges during your counselling....
prediction is on the basis of past year data but  cutoff keeps changing every year depending upon many factors as follows.....

•number of candidates appeared for the exam
•number of available seats
•performance of category candidates in the examination
•your rank or marks
•the branch you want
•your category

Hope this helps

All the best for your Future