Maths Preparation

University Physics by Resnick and Halliday
University Physics by Sears Zemansky
Irodov's Problem in Physics and Solution
Calculus by GP Thomas
Loney's Trigonometry and Coordinate Geometry
Hall and Knight's Elementary Algebra and Higher Algebra
Organic Chemistry by Morrison Boyd.

Please follow Arihant. This book is named as RD Sharma objective for IIT-JEE mathematics.

Engage Publication is for JEE Mains level and other equivalent examinations. Do not rely on either of the books for examinations like JEE Advance. For Advance level you can refer ML Khanna. Its question bank is very good. Refer IIT mathematics by Das Gupta. It is the most important book recommended by many teachers. If you want more questions and that too of good level then refer FIITJEE notes.

If you are asking about boards, just solve NCERT and previous year questions. Also you can solve important questions from any reference book.

Hello, Shaily. First of all, good luck. I hope you will do well in near future. For physics you can consider these books:
1-Engage (most important)- Independent edition
2-TMH-As a whole worthy
3-ML Khanna-Coordinate Geometry
4-Admit M Agrawal -Differential & Integral Calculus only
I am not mentioning books like Irodov and Krotov because these books are full of heavy subjective questions which can be learnt easily by solving previous years IIT questions.

Good morning dear,
You should prepare for the other two subjects as well because you may be getting an honours degree in Mathematics but the course includes the other two subjects as well.
Thanks.
All the best.

Almost every institute in India gives admissions for graduation on the basis of 12th marks. So, do well in your boards. If you want to go for research, you can take admission in IISC, Bangalore. Admissions there are given on the basis of IIT-JEE result.

If you have a capacity of solving a large number of questions then Engage is more beneficial than Arihant.