Hello There,

Hope that you are doing well...

Based on your question, I assuming that you want to study for the 11th and 12th board exam.

So, to start with, you should do the thorough reading of the syllabus books and take out important notes from the books for last minute reading. For any clearing difficult concepts, you can take help of the teachers or can also watch various YouTube videos available.

Then you can solve the questions given at the end of each chapters and also the questions from the previous year's question papers. For Solutions of the problems, you can also buy the guides.

This will be all for the preparation of the board exams.

For entrance exams, such as JEE and NEET, you have to read from the NCERT books and for the clarity of concepts, you have to buy the standard books used for the preparation of the JEE and NEET. I am providing the link for the list of books below:

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

NEET : https://medicine.careers360.com/articles/best-books-for-neet

If you study well, you can score good marks in  the exams without coaching.

So, good luck with your studies...

You can also do the NEET Knockout course here: https://learn.careers360.com/knockout-neet-may/

For JEE You can do following course:

https://learn.careers360.com/knockout-jee-main-april/

Here are the best colleges for engineering and medicine in your asked cities:

Engineering: https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-bangalore

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-ooty

https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-coimbatore

Medical:

https://medicine.careers360.com/colleges/list-of-medical-colleges-in-bangalore

https://medicine.careers360.com/colleges/list-of-medical-colleges-in-ooty

https://medicine.careers360.com/colleges/list-of-medical-colleges-in-coimbatore

Revert back if you need more clarification.