The correct option is (a).
Work Step by Step
The provided statement shows that the narrator seeks pity for the acceptance of late submission of his paper because he has been sick and his parents will kill him if he flunks his course. Hence, the provided statement is a fallacy of emotion because fallacy of emotion is type of fallacy which consists of appealing to emotion (pity, force, etc.) in an argument. Thus, this is a type of fallacy of emotion.