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Hello Aspirant,
Don't worry even if you have only 1 year and if you utilize it properly then you can still crack JEE-Main and JEE-Advance with good score, So I am enlisting down some best books for preparation of JEE-Advance 2021 :-
@Physics
Concepts of Physics by H C Verma (Vol-1 and Vol-2)
Fundamentals of Physics by David Halliday/Resnick/Walker
IIT JEE Physics by Arihant (35 years Chapterwise Solved Papers 2013-1979)
@Mathematics
Objective Mathematics By R.D. Sharma
Plane Trigonometry and Coordinate Geometry (Two Books) by S.L Loney
Problems in Calculus Of One Variable by I.A.Maron
Integral Calculus for IIT-JEE by Amit M Agarwal (Arihant Publications)
A Text Book of Algebra For JEE Main & Advanced by Dr. SK Goyal (Arihant Publications)
@Chemistry
Physical Chemistry by OP Tandon
Modern Approach to Chemical Calculations by R.C. Mukherjee
Organic Chemistry by O.P. Tandon
Organic Chemistry by Paula Bruice Yurkanis
Organic Chemistry by Morrison & Boyd
Inorganic Chemistry by J.D Lee
Inorganic Chemistry by O P Tandon
If you are preparing for JEE-Advance then you can check out the link given below for best preparation tips :-
https://engineering.careers360.com/articles/jee-advanced-preparation-tips-physics-chemistry-and-mathematics
You can also check out the complete JEE-Advance 2021 syllabus from the link given below :-
https://engineering.careers360.com/articles/jee-advanced-syllabus
I hope this information helps you.
Good Luck!!
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