The question ""do the ends justify the means?"" falls within the area of metaethics value theory moral psychology normative ethics

normative ethics

Explanation:

Value theory is the study of how much a person values something

Moral psychology studies how morality is developed in a person.

Normative ethics studies the questions that emerge when a person is considering how to act in a moral sense.

The statement "do the ends justify the means?" is questioning the actions of a person in a moral sense.

So, it falls under normative ethics.