Hi there!!! Unfortunately the chances of getting a good government college through jee mains is very difficult for you since your rank is not good enough. You should try for other colleges through different entrance exams or go for private colleges or opt for drop and have another shot at jee.  To help i am providing the link of our college predictor which should be very helpful.   The link is :  https://engineering.careers360.com/jee-main-college-predictor