I'm giving private 12th, next yr i'll go for CLAT. After qualifying clat will i face any problem in getting admission in govt. colleges?

I'm really interested in law, and i'm all set to qualify CLAT 2014 which will be conducted next yr. This year i am giving my 12th private with mp board. Is it necessary that i'll face problem in getting admission in govt. colleges even after qualifying CLAT? I cant go for regular, plz help me!!