Hi Anjali, since you have 17433 general rank and you also have Backward Category rank too son based on this I'm mentioning the colleges below. The below mentioned colleges are comprises of both government and as well as private institutions;

• Institute of Technology and Management, Gorakhpur
• Institute of Engineering and Technology, Lucknow
• Aligarh College pf Engineering and Technology, Aligarh
• BIET, Jhansi
• Ajay Kumar Garg Engineering College, Ghaziabad
• Rajkiya Ingineering College, Banda
• CSJM, Kanpur
• Kamla Nehru institute of technology, Sultanpur
• Rajkiya Ingineering College, Ambedkar Nagar
• Feroz Gandhi Institute of Technology, Raebareli

Etc.

Moreover you can also visit on the below page where you can predict your UPSEE college by your own on behalf of your rank;

https://www.careers360.com/upsee-college-predictor

Good Luck.