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Hi,
1)
To pursue B.E. / B.Tech, you need to complete 12th with minimum 60% (Physics, Mathematics and Chemistry) from recognized board to join good college. However, they are colleges which take students who have scored 45% - 50%. You need to appear in entrance exam.
2)
Some of the colleges offering B.Tech are :
-College of Engineering, Guindy (CEG)
-Institute of Technology - Banaras Hindu University (IT-BHU)
-Delhi Technological University
-Loyola College
-Stella Maris College
-Fergusson College
For more, you may refer to the link mentioned below.
https://science.shiksha.com/be-btech-colleges-in-india-categorypage-2-56-1-0-0-1-1-2-0-none-1-0
To get information regarding colleges, fee etc, you may refer to the below link :
https://www.shiksha.com/top-engineering-colleges-in-india-rankingpage-44-2-0-0-0
While selecting the best college, you need to check some of the important parameters such as recognition, year of establishment, batch size, syllabus, faculty, fees, placements etc.
3)
Other than engineering, there are many course options available after 12th Science. You must opt for the one which matches your interest and skills as it will help you to achieve your long term career goal.
With Mathematics, Physics and Chemistry as combination, you can choose professional courses such as computer, business administration.
You can also opt for courses outside the university stream such as hotel management, fashion technology, aircraft maintenance engineering, government accredited computer courses.
However, other than Science stream you may even explore the opportunities Commerce and Humanities offer.
Hope it helps. Please feel free to revert. Click on the thumbs up or mark it as the best, if you found this useful.
Wish You Luck!