Colleges in Delhi

B.Tech can not be completed in one year. The minimum three years are required for the completion of B.Tech courses for Diploma Engineering holders. Diploma engineers are eligible to get admission in 2nd year through the lateral entry admission. Further Delhi Institute of Professional Studies (DIPS) is a leading educational consultant and career counseling center in India, So DIPS, is not an Engineering college. So, you can not do B.Tech here.

BBA could be a better choice as HM from NIHM is more valuable. Value for money of Jamai BBA is very high. Although HM could be more job oriented and lucarative after course completion.

Yes, you can. The basic eligibility for appearing in an entrance exam for admissions to engineering graduation colleges is passing 12th exam or appearing in this examination. Then there are some further eligibility conditions that are different for different categories of institutions. All this information you can Google and find out. It could be given here also but unfortunately you have not given any indication as to which entrance exam query is about.
Best wishes to you.