You can try in private colleges or states like Rajasthan, Haryana, Punjab etc through JEE Main.

You still have immense opportunities to grab.

There are various reputed private universities and institutes where you may get admission, in case you have applied for their entrance exams. Private engineering institutes like BITS Pilani, VIT University, SRM University and Manipal University conduct BITSAT, VITEEE, SRMJEEE and MU OET respectively for offering admissions across their campuses.

These are one of the top ranking institutes across all private universities and colleges and are well equipped with state-of-the-art infrastructure, quality education and faculty, etc.

If you want to take admission in government college only you can focus on your state level exam.

All the Best!!