Hello there!

As per your query, I have just checked the official website for Bihar's State Quota Counselling and the site is working properly. There is a possibility of you clicking on the "sign in" button instead of "New Registration". Here is the direct link to open registration form - https://bceceboard.bihar.gov.in/Secure/univer/public/registration?app_id=UElZMDAwMDAyNQ==

use this link to complete your registration process. If the problem still persists then do let me know in the comments.

For more information on expected colleges you can get on the basis of your NEET score, use this college predictor tool.

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

I hope this answer resolves your query.

Good Luck!