You can find out the IITJEE syllabus from the IIT website, and use the following books for preparation.

Physics: HC Verma, Young & Freedman(used at MIT, USA), “Problems in Physics” by Abhay Kumar Singh

Inorganic Chemistry: JD Lee, OP Tandon

“Physical Chemistry” by Robert A. Alberty, Robert J. Silbey (both from MIT, USA)

Organic Chemistry: Morrison & Boyd, Paula Yurkanis Bruice

“Calculus:graphical,numerical,algebraic” by Thomas,Finney, Demana, Waits (one or more authors from MIT, USA)

Arihant Integral Calculus, Arihant Differential Calculus, Arihant “Vectors and 3-D geometry”

Trigonometry: SL Loney

Coordinate geometry: SL Loney

Algebra: “Challenge and Thrill of Pre-College Mathematics” by V. Krishnamurthy

In addition, you can gain the ability to solve problems UNDER TIME CONSTRAINTS through a coaching class like Askiitians.