Hello aaditya raj!

Congratulations for getting a rank of 19000 (obc)  in jee mains examination. 

With that rank,under home state quota  you wont be getting any seat in any stream in NIT PATNA.Sorry.

however do not lose hope.

Please see the following link to predict rank and colleges you get :

https://engineering.careers360.com/jee-main-college-predictor?utm_source=C360&utm_medium=qna&utm_campaign=jee-main-college-predictor

But dont lose hope!! as these cutoffs and ranks may vary from year to year and student to student.

Lets hope for the best

Thank you

All the very best