Books for theory of topics of IIT-JEE.?

I’m in class XI and preparing for IIT-JEE 2009. If you have good experience of different books or you have done a lot of research work on books for IIT-JEE, then please answer my question. I want names of books for Phy, Chem, Maths which have detailed explanation of theory; which presents one question and shows all the different ways to solve it; which show how things are working so that I can build up common sense for question on those topics; and which shows derivations of all formulae. It doesn’t matter to me what kind of questions they have, I just want them to build a clear picture of how things are working. Please tell me if you know any ideal book like that. If there’s no such book which is good for all the topics then please give me the books for different topics. For maths I love NCRT but it doesn’t cover all topics.