Generally it wouldn’t create any problem because you are going for F1 visa now. But try carry all the relevant documentation with out fail. Compare to Hyderabad, Chennai is the right choice.
You will be asked reasons for previous B-1 application and now an F-1. Tell them you wanted to visit the US before deciding on a school but since B-1 visa got rejected, you are now directly going for an F-1 and hoping for the best. There is no need to change consulates, and be truthful on your DS form - always.
Dr. Sandeep Shankar, Colorado Heights University, Denver, CO 80223, USA. www.chu.edu; Email: international@chu.edu