Final answer:
James Madison defines a republic as a system of government where citizens elect representatives to make decisions on their behalf. He rejects the ideas of a monarchy, direct democracy, or an authoritarian regime as forms of government. The option (A) is correct.
Step-by-step explanation:
James Madison, one of the Founding Fathers of the United States, sought to implement republicanism. He defined a republic as a system of government where the power derives from the people, who elect representatives to make decisions on their behalf.
Madison believed that a true republic should not be based on a monarchy with a hereditary ruler, a direct democracy with all citizens voting on every issue, or an authoritarian regime with a single leader. Therefore, option (A) is correct.