NIT

You can apply for Bachelor of Architecture courses in NITs or government colleges through JoSAA counselling. You will get a link for the same at JEE Mains official website, once the counselling starts. Counselling will start in next two or three weeks. So, please wait for the same.
Best of luck.

Hi PP,
You have a chance of getting seat in your desired college with your marks. If you want to know in which colleges you get seat please go through the link, apply all the details and select the architecture stream from filters, then choose the best college that is suitable for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

Yes, it is necessary to get qualify marks for getting seat NITs, IIITs amd GFTIs. Even though they are the marks decided to write JEE Advanced you must get more than qualifying marks to get seat in any NIT. Category rank was not helpful in this criteria.
All the best.

If you are asking about B.Arch course, it's not possible for you to get admission in any of the NITs with this rank. However, you can easily get a few NITs for B.Tech with this rank. For checking in which NITs you are eligible, I suggest you use the college predictor tool:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.

There are only 9 NITs offering B.Arch courses where the total number of seats are 559. Therefore, a seat in NITs is not possible with this percentile. I suggest you go with JEE Advanced and based on its rank you might get a seat in IITs. Else, you have to go with the private institutes.

NIT colleges pan India provide first preference to the entrance exam rank, that too the top list rank holders and do not really consider 12th result for admission criteria. You may look for other private university options.

Hi,
With 97 percentile in JEE Mains paper 2 with rank 7757 and 89% score in your class 12th, you have chances to secure admission in NITs and SPAs.

Hi,
With 174 Marks and 77 percentile in JEE Mains paper 2 2019 exam and 9.7 GPA score in your class 12th, you have lesser chances to secure admission in NITs.

Hi Sampath,
Although getting a seat in any NITs with this rank is difficult, but you can apply for NIT Patna and government colleges like IIEST Shibpur for Bachelor of architecture courses. You might get a seat in second or third round. Keep all the documents ready. Best of luck.