The sentence provided is: "She is a close friend of ____________." To fill in the blank with the correct grammatical option, we need to understand the roles of the options provided:
- my: It is a possessive adjective used before a noun, e.g., "my friend".
- I: It is the subject pronoun, used as the subject of a verb.
- me: It is the object pronoun, commonly used as the object of a verb or preposition.
- mine: It is a possessive pronoun, used to show ownership and usually stands alone.
In the sentence, the object of the preposition "of" requires a possessive pronoun to complete the phrase. The correct grammatical choice is:
mine
Therefore, the complete sentence is:
She is a close friend of mine.