Sure they do, but you must understand that the format has gone a sea-change now. The wild variety of questions they ask now is very different now. Multiple answers, matrices and what not. Of course, looking at old papers is useful. Just don't forget that it is different now.
I think somebody already gave you the link to the last three years' papers with official solutions. There is also a full list of the appeared candidate's marks at *jee.iitr.ernet.in/jee2009marks.htm
I think somebody already gave you the link to the last three years' papers with official solutions. There is also a full list of the appeared candidate's marks at *jee.iitr.ernet.in/jee2009marks.htm