My mother _______ the same laptop since 2009.

The correct answer is "has had".

Explanation:

The sentence requires the present perfect tense because it describes a situation that started in the past (2009) and continues to the present. The correct form for "My mother" (third person singular) is "has had". "Has" is the auxiliary verb, and "had" is the past participle of the verb "have" (meaning "to possess").