See you have a moderate rank and getting a government college with this rank isn't possible. Although, you can go for the private engineering institutes which offers the course of BTech on the basis of JEE MAINS.

Some of the private engineering colleges in India providing admission to various engineering courses on the basis of JEE MAINS score, with fees within Rs 10 lacs for the entire duration, are provided below:

LPU Jalandhar - Lovely Professional University

BVUCOE Pune - Bharati Vidyapeeth Deemed University College of Engineering

VIT Pune - Vishwakarma Institute of Technology

Nirma University, Ahmedabad

AIT Pune - Army Institute of Technology

Presidency University, Bangalore

CBIT Hyderabad - Chaitanya Bharathi Institute of Technology

VIT Chennai - Vellore Institute of Technology

Jamia Hamdard, New Delhi

AISSMS COE Pune - AISSMS College of Engineering

Integral University, Lucknow

For more colleges consider the link provided below:

https://engineering.careers360.com/colleges/list-of-engineering-colleges-in-india?ownership=Private&degree=B.E%20/B.Tech&fee=500000-1000000&exam=JEE%20Main

You can also predict your colleges on the basis of JEE MAINS score, using the career360 college predictor tool. Follow the link below to know more-

I hope this helps. Wish you a great eve!