Yups u can go for various coaching institutes , such as u can go for AAKASH institute crash course and In Kota also there are much high reputed institutes which offers crash course .If u r from Delhi u can go for FIITJEE , VMC, narayana these are some of the best But there coaching fees is quite high just for 1 month or 20 days as Near to Ts 12000

Yes they do.provide but if u are opting for long term course then u can join in them any institute offers coaching even after 12th but u should be applying for long term course.