With 10000 rank getting a government college will be difficult for you. But you may get the top private engineering colleges.
Institute of Engineering and Management  (IEM )-You may get the civil and electrical departments.
Heritage Institute of Technology -You may get mechanical, civil,electrical, biotechnology and ECE department.
Haldia Institute of Technology -Ece, mechanical,civil departments.
In GCELT which is a government college, you will get leather technology.
If you wait till the mop up round,You may get the government colleges as well like chemical engineering in Jadavpur University.
Choose your colleges wisely.

Hello Anushka,
You have not mentioned your category so I am taking it as a General and your quota as Home State. With your rank, there are some colleges where you can apply for admission. I'm listimg them.

• Coochbehar Government Engineering College
• St. Thomas' College of Engineering and Technology - STCET
• Netaji Subhash Engineering College - NSEC
• Government College of Engineering and Textile Technology, Serampore
• RCC Institute of Information Technology (RCCIIT)
• HIT - Haldia Institute of Technology
• Heritage Institute of Technology
• Ramkrishna Mahato Government Engineering College

Hope this information helps you.
All the Best.

Your rank is very good. As per your rank you can easily get renowned private engineering colleges -
1. Haldia Institute of Technology
2. Heritage Institute of Technology
3. Techno India college of technology
4. Techno India main campus
5. Netaji subhas engineering college
6. RCC institute of information technology
7. Meghnad Saha institute of technology
8. JIS Kalyani
9. Calcutta  Institute of Engineering and Management

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