i wanted yo know if im married to a us citizen do we have to live in the same house in order for me to get work premit and green card

You must establish your marriage was entered in good faith. Typically, as part of the inquiry, the couple establishes they have a joint residence. However, living together is not required in order to obtain employment authorization or a green card. You will need to be able to explain why you live apart. You will also need to provide substantial proof the marriage was entered in good faith. Make sure when completing all forms you are truthful. You can read more about adjustment of status at http://myattorneyusa.com/adjustment-of-immigration-status.