Hii Aditya
No it is not that after dropping a year after your class 12 th boards you won't get admissions in any private college. These Colleges/universities might ask you about what you did in this year gap to which you can state the actual reason and apply accordingly to which ever course or program you want of that college/university even you can get admissions in many government colleeges/universities even after a year drop. And you will have to get a character certificate too . Because it is mandatory to give a character certificate to the institution.
Hope it helps
Thanks