Hello there, hope you are doing good!

As per the previous year's cut off, with 4000 rank in Delhi general category you may get the following colleges -

First round

JIMS Engineering Management Technical Campus, Noida

Kasturi Ram College of Higher Education

KCC Institute of Legal & Higher Education

Sant Vivekanand college of Law and Higher studies

United College of Education

Last Round

Delhi Metropolitan Education

Fairfield institute of Management & technology

Madhu Bala Institute of Communication & Electronic Media

Trinity Institute of Innovations in Professional Studies, Dwarka

I am also attaching a link that provides more information about the BJMC cut off

https://media.careers360.com/articles/ipu-cet-bjmc-cutoff

Hope you found this answer helpful.

Good luck for your future!