The correct answer is: D. no article

The word "eucalyptus" is a common noun, which means that it refers to a general class of things. In this case, the speaker is referring to a specific eucalyptus tree in their garden. However, they are not specifying which eucalyptus tree they are referring to, so they do not need to use an article.

If the speaker were to specify which eucalyptus tree they were referring to, they would need to use an article. For example, they could say "We have the eucalyptus tree that my grandfather planted." In this case, the article "the" is used to identify the specific eucalyptus tree that the speaker is referring to.

The other options are incorrect because they are all articles. Articles are used to specify which noun is being referred to. In this case, the speaker is not specifying which eucalyptus tree they are referring to, so they do not need to use an article.