HI Jasika!

Congratulations for your JEE RANK. According to previous year cutoffs and trends it is impossible for you to get into any NIT or IIIT except having Female and Ews quota as closing rank for this combination is approximately 4,000 to 7,000 and your rank is far from that range. Still you can try CSAB special counselling for better chances.

You can follow up Career 360's article for top NITs: https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches

You can follow up Career 360's article for top IIITs:

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

And don't forget to check out the Career360 College Predictor to know your college admission chances based on your JEE Main Rank, Home State, Caste, Gender, etc. -

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

Happy Hustling.