Hello Priya,

As per the infromation provided by you, here are some colleges where you can get your seat,

• Loknayak Jai Prakash Institute of Technology, Chhapra
• Katihar College of Engineering, Katihar
• Sitamarhi Institute of Technology, Sitamarhi
• Saharsa College of Engineering, Saharsa
• Shershah College of Engineering, Sasaram
• Sanjay Gandhi Institute of Dairy Technology, Patna
• Darbhanga College of Engineering, Darbhanga
  
• Gaya College of Engineering, Gaya
• Nalanda College of Engineering, Chandi

You can also use the BCECE College Predictor to find out the best college as per your requirments.

https://engineering.careers360.com/bcece-college-predictor

Hope this helps, Thank You

All the best