Dear Ashish,

There are many private colleges as well who offer admission on the basis of JEE Main you can apply in those colleges. In order to apply for these colleges you have to apply seperately for the entrance exam. 

To check the list of the colleges you can refer below link

https://engineering.careers360.com/colleges/ranking/top-private-engineering-colleges-in-India-accepting-jee-main-score

Good Luck!!