IIIT

Yes, you have a good chance to get into an IIIT or CFTI. Go, for your desired engineering stream.
Good luck.

Getting NIT with this rank seems difficult. But you must try your luck till spot round counselling because there might be a seat available in some low rank NIT. And yes do try for IIIT, you will get one with this rank.

Hello Rohan,
As per your rank in JEE Mains, you are eligible for admission in any of the NITs and IIITs, however, check the below-mentioned link for more details:
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

Hello Anshu,
As per your rank, your chances are slim, however, check the link mentioned below for more details:
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

Hello Diksha,
Check the below-mentioned link for more insights:
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

You can apply for both under one counseling.

Hello Roshan,
Check here for more insights.
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

Hello Saurabh,
As per your rank, your chances are very slim, however, check here for more details.
https://www.resonance.ac.in/reso/news/JEE-Main-Branch-Predictor.aspx

It is clear that, you have a very different combination of marks and rank.
But, it will depend on how the authorities determines the outcome. Till then, check the Individual websites for more information. Here Are the Links.
http://www.nitrr.ac.in/
http://www.nsit.ac.in/academics/courses/
https://www.iiitd.ac.in/admission/btech/2017