@ajinkya3040 , generally the tax status of the dependent visa holder is the same as that of the Primary visa holder. Thus your wife's H-4 visa gives her the same tax status as you -- Resident for tax purposes. However to file jointly with her she does need a tax ID --- in her case an ITIN. ( issued by the IRS ).
And yes you are married and your spouse lives with you , your filing / choice should reflect that.
Is there more I can do for you ? BWT, which country are you and your spouse from ( only for purposes of treaty considerations ).?
