Hello,

Hope you are doing well.

If you belong to Bihar and have a domicile of Bihar then you can apply through Home state.According to your rank obtained there seems less chances of yours to get a seat in NIT Patna as the rank you obtained does not comes under the closing rank required to get a seat when compared with previous year closing rank.

You can also visit the link below to see previous year closing rank of NIT Patna:

https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-patna

On the basis of your rank obtained there can be several colleges you can get admission.Every colleges have different eligibility criteria for the admission procedure.So to know about the colleges you are eligible and  can get a seat you can use Career360 college predictor tool which will help you to predict the colleges on the basis of your rank obtained.You can predict the colleges and take admission in the desired branch accordingly.

Here is the link of Career360 College predictor tool:

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

Hope this will help you !

All the best for your bright future!