Hope You are doing well  !!

It all depends on availability of seat in your home state. Check availability of seats from the JEE mains counselling site- https://josaa.nic.in/WebInfo/Page/Page?PageId=1&LangId=P

Check this article for JEE mains counselling details for 2020 https://engineering.careers360.com/articles/jee-main-counselling-seat-allotment

(https://josaa.nic.in/WebInfo/Page/Page?PageId=1&LangId=P)

Predict your college using the Careers360 JEE mains college predictor- https://engineering.careers360.com/jee-main-college-predictor?ici=cp-listing_engineering&icn=JEE-Main-College-Predictor

Dear Aspirant,

According to  your rank you have very less chances of getting CSE branch in Nits/IIIts but you might get other good branches like IT/ECE. You might also get CSE in your home state Nit in special rounds of councelling using your state quota.

Above prediction is based on previous year cut off and data may vary this year

For more info you can refer the following link:

https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp

Also you can use the following link to predict the colleges based on your rank:

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

Good Luck!!