Hello student.

Hope you are doing well.

Yes you can get seats in private colleges. As you are definitely not eligible for any government college at this rank.

To get yourself a suitable college as per your rank, you can use our college predictor link which will find a good college for you.

Here's it:

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope this will help you and it solves your query.

Have a great day!!

Good luck!