See if you wish to study the theory from the Tamil Nadu board books, then you can prepare the theory from those books. But for practicing problems and for the JEE ADVANCED examinations you need to follow other books. JEE ADVANCED requires a much more practice as well as a variety of problem solving. So if you wish to prepare the theory, then you can use the board books, but for other purposes you need to follow the standard books.

For the JEE MAINS book list, consider the link below:

https://engineering.careers360.com/articles/best-books-for-jee-main

For more information regarding JEE ADVANCED suggested books consider the link provided below:

https://engineering.careers360.com/articles/best-books-for-jee-advanced

I hope this helps. Wish you a great day!