Does one of your relatives live in America?
Remove the word the, grammatically incorrect to place in front of America.
Explanation: If you add "one" as in "Does any one of you speak English" or "Does any one of you want to come," you have clarified your subject as singular. In this case, you must use "does"
I hope this helps Vishal.
We use do/does as question words when we want to ask yes/no questions.
We use does with third person singular pronouns (he, she, it) and with singular noun forms.
We use do with other personal pronouns (you, we they) and with plural noun forms
