Final answer:
The term 'litany' is correct for describing a long and tiresome list of complaints, which fits the context of not wanting to hear about someone's endless symptoms and ailments when asking 'How are you?'.
Step-by-step explanation:
You expressed reluctance to ask someone "How are you?" because you do not want to hear a long list of complaints. In this context, the term you are looking for is litany. A litany refers to a tedious recital or repetitive series, which in this case, would be the person's endless complaints about their symptoms and ailments. On the other hand, badinage refers to humorous or witty conversation, which does not fit the context of discussing health issues exhaustively. Therefore, the correct answer is: a) Litany.