The correct answer is: D. no article
The word “house” is a common noun, which means that it refers to a general class of things. In this case, the speaker is referring to their own house, which is a specific example of a house. Therefore, we do not need to use an article.
If the speaker were referring to a house in general, we would use the indefinite article “a” or “an.” For example, “We live in a house.” or “We live in an apartment.”
If the speaker were referring to a specific house that is already known to the listener, we would use the definite article “the.” For example, “We live in the house on the corner.” or “We live in the White House.”