Topic: Dangling Modifer,

Best Answer Explained in Below-:

The question "Where ___ ?" requires the correct form of a verb to complete the sentence appropriately. Among the given options, "did you have your hair cut" (option D) is the most grammatically correct and contextually appropriate.

Let's analyze the options:

A) "Did you cut your hair?" - While grammatically correct, this option implies that the subject personally cut their own hair, which may not be the intended meaning.

B) "Have you cut your hair?" - This construction uses the present perfect tense, which conveys an action that has relevance to the present moment. However, it lacks the specific focus on "where," making it less suitable for the intended inquiry about location.

C) "Did you have cut your hair?" - This option is incorrect because "have cut" is improperly formed. The auxiliary verb “have” should be followed by a past participle. This phrase creates confusion and is not grammatically valid.

D) "Did you have your hair cut?" - This option uses the structure "have something done," which is the appropriate way to express that someone else performed the action of cutting the hair. It implies that the subject did not cut their hair themselves but instead had someone else do it, aligning perfectly with the prompt and the use of "where" to inquire about the location of that event.

Therefore, option D is the best choice as it effectively communicates the idea that one is asking for the place where someone else performed the haircut.