It's not possible to undertake two full fledged courses at the same time. Under the college procedures your original marksheets and everything are kept in the custody of college so that you can't take duel admission at the same time.
In case you are interested to pursue ba+b.ed, Delhi University provides a combined course called b.el.ed i.e. bachelor's in elementary education which makes the student eligible for teaching at elementary level. This is a four year course provided to girl students only. Admission is based on entrance exam i.e jat.