Hey there

You have a good rank but as n state quota the cutoff rank for Indira Gandhi institute of medical sciences Sheikhpura, Patna was 10516 in general category and for Nalanda medical College and hospital Patna the cutoff rank was 10327. So you have less chances of getting these two colleges. Though you can opt for semi government colleges you have chances of getting a medical seat.

Check neet cutoff Bihar

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-cutoff-bihar/amp&ved=2ahUKEwjcgerYg4bjAhUxjuYKHZdUAaoQFjAAegQIBBAB&usg=AOvVaw1U6-vyKjpN-TmR5bUm3NYf&ampcf=1

Check our college predictor

https://www.google.com/url?sa=t&source=web&rct=j&url=https://medicine.careers360.com/articles/neet-college-predictor/amp&ved=2ahUKEwj2ieDmhIbjAhWhmOYKHfW2DcgQFjAAegQIAhAB&usg=AOvVaw38Pe-X19VLTTS6dO4yyLxi&ampcf=1

Good luck