Well, I think you need to check with the US embassy. Technically, you should be able to do it, I suggest you double check. Visa interview has many things and what you mentioned is one of them. Being a British national, you should show your ties in Britain, having properties in India, may not help in my view. If you do everything right and have admission from good school and confident, you should have good chances… dont worry about the ties part too much at this point.