Be careful! Yes, the JEE now only includes the 11th and 12th syllabus, but that does not mean you will find even a single question familiar! The IIT's specialize at asking awkward questions based on simple principles. The only thing is now you won't have crap questions based on triple integration (in my time this did happen).
And there is one more reason to go to a classroom course - you actually have to study. Motivating yourself in other situations can be difficult. When you don't have a choice on the other hand, motivation is never a problem.