It is quite tough for you to get into government colleges. You should try for private engineering colleges if you want to pursue B. Tech otherwise you may drop one year and prepare for JEE 2021.

Following are some of the best private engineering colleges in India.

1. BITS Pilani
2. VIT Vellore
3. SRM University
4. KIIT
5. Thapar University
6. Manipal Institute of Technology
7. Lovely Professional University
8. Chandigarh University
9. RV College of Engineering
10. BITS Mesra
11. DA - IICT
12. KJ Somaiya College of Engineering

However you have a chance to get a list of prescribed colleges against your rank. You just need to use JEE MAIN COLLEGE PREDICTOR. Click the link below, put necessary information and get result instantly.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

All the best.