Engineering Entrance Exam

I want you to trust me and believe that JEE Advanced is possible to crack in one month. The first thing is don't think about ranks or IITs or future or career opportunities at all for the next month. Day 1: buy these things: JEE Advanced previous year solutions book divided topic wise
DPP sheet of JEE Advanced topic wise with solutions
Online test series have less tests but good quality tests. Rest of the days: don't study anything extra. No extra books. No new material. Solve previous year's problems rigorously from day 1 and SEE their solutions. Solve 1 DPP sheet of any topic every day. For all 3 subjects. Always choose a tough topic. Don't waste time. Solve the problems you can in one reading and SEE the solutions for others. Give atleast 2 full tests every week from very first week even if your syllabus is not done. Choose your DPP after you are done with all previous year's papers. You will know your weak areas and important topics. Then do DPP based on that. This much if you will do it every day. You have good chance to qualify exam. Try to hire a teacher who can quickly solve your doubts.

Hi Sagnik! You're rank is really good, Here's the list of some best books for you surely will helps you in your preparation. Mathematics:
-NCERT Class XI and XII books. -Higher Algebra by Hall and Knight. -Differential and Integral Calculus by N. Piskunov. Trigonometry by S. L Loney. -Coordinate Geometry by S. L Loney. Physics:
-NCERT Class XI and XII books. -Concepts of Physics by H. C. Verma. -Fundamentals of Physics by Halliday, Resnick and Walker. -Problems in General Physics by I. E. Irodov. -Aptitude Test problems in Physics by S. Krotov. Chemistry:
-NCERT Class XI and XII books. -Numerical Chemistry by P. Bahadur. -Concise Inorganic Chemistry by J. D. Lee. -Organic Chemistry by Morrison and Boyd. Chemistry Principles & Applications by Slenko and Plane. -University Chemistry by Bruce Mahan for Physical Chemistry. In order to these books you can write number of mock tests, then definitely you can crack. Hope it helps you. !
Best of luck!

I can guide you about Physics important chapters for JEE Advanced.
1. Oscillations and Waves. (Oscillations more important)
2. Rotational Motion and centre of mass. ( Angular momentum extra)
3. Electrostatics
4. Current electricity
5. Magnetism
If you have done B.Sc. Than your concepts will be better and also your ability to use mathematics in Physics will be more. Start by solving previous year questions of JEE Mains and JEE Advanced. SEE the solutions and solve all questions. Spend atleast 3 months in this. But not more than that. By now you will know your weak and strong area. Give one full reading to standard Physics textbook like sl Arora. Purchase one assignment book like dc pandey series. Solve it completely. Once you start solving this book. Make a habit of giving one test every week. Online test. You can give full JEE test every week even if your syllabus is not complete. Just give test and don't worry about marks. This will help you in managing time in exam. Solve entire assignment book. Now try to look for any gaps. If you feel some topics are weak. Only focus on those. Revise same book more. Than solving too many books. Anf always try to solve question by yourself first and than SEE the solution.