The correct answer is: D. no article
The sentence “My wife and I have appointment” is grammatically correct without an article. This is because the word “appointment” is a non-count noun, which means it cannot be pluralized or used with a number. Non-count nouns are typically abstract nouns, such as “love” or “happiness,” or nouns that refer to a general category of things, such as “water” or “sand.”
In the sentence “My wife and I have appointment,” the word “appointment” refers to a general time that has been set aside for a specific purpose. It is not referring to a specific appointment, such as a doctor’s appointment or a meeting. Therefore, it does not need an article.
The other options are incorrect because they are all articles. Articles are words that are used to modify nouns. They can be used to indicate whether a noun is specific or general, singular or plural, and countable or non-count.
In the sentence “My wife and I have appointment,” the word “appointment” is a non-count noun, so it does not need an article. The other options are all articles, so they are incorrect.