Hey there

Apply for Jossa you will get home state option there and then as per your rank you will get your college or not.

Check JEE mains

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/exams/jee-main&ved=2ahUKEwiUuc_F74TjAhUq4XMBHaVqAp8QFjAAegQIBhAB&usg=AOvVaw1k3rMyr-Osb0qy4gsPfOaR

Good luck