Which book can I use to strengthen my concepts and slove problems in mathematics for JEE mains?

I would suggest you to go through the below provided tips and books as these will be helping you in your preparation in a right direction -

1. Know the syllabus very well.
2. Read standard books only as there are many books available in the market so it is advisable to use the books which make all your concepts clear and which are easy to understand.
3. Understand the weightage of topics properly.
4. Proper Revision plan should be followed.
5. Mock Tests and Practice Tests should be done as this will help you to learn time management skills and this will also make you familiar with the exam pattern.

Books -

Mathematics
Maths XI & XII by NCERT
Trigonometry by S. L. Loney
Co-ordinate Geometry by S. L. Loney
Higher Algebra by Hall & Knight
Problems in Calculus of One Variable by I.A. Maron

Hope this helps!!!

You should solve NCERT book first to strengthen your concepts and to clear your basics. You can also go for RD sharma to clear your concepts.

Below are the recommended book sfor your preparation-

IIT Mathematics- M.L. Khanna

Differential Calculus- A Das Gupta

Trigonometry, Geometry Books- S.L. Loney

Problems in Calculus of One Variable- I.A. Maron

Higher Algebra- Hall and Knight

Good Luck!!

To strength the basic concept, I would suggest you to prefer NCERT books then go for others. Other books you can prefer given below.

Physics : Concept of Physics by H.C. Verma , Fundamentals of Physics by DC Pandey , Problems in Physics by I.E. Irodov

Chemistry : Numerical problems in Chemistry by P. Bahadur, Organic Chemistry by O.P. Tandon.

Mathematics : Mathematics by R.D. Sharma, Algebra by Hall & Knight

Good Luck!