The correct answer is option 4, Habeas corpus. Habeas corpus is a Latin term that translates to "you shall have the body." It is a legal writ that ensures the detained individual is brought before a court, allowing the court to determine the lawfulness of the detention. This writ is used when a person is believed to be missing or unlawfully held in custody.
Option 1, Mandamus, is a writ used to compel a public official to perform a specific duty. It does not relate to the production of a missing or detained individual.
Option 2, Quo Warranto, is a writ used to challenge a person`s right to hold a public office or position. It is not applicable to the situation of producing a missing or detained person.
Option 3, Certiorari, is a writ used to review a decision made by a lower court. It is unrelated to the production of a missing or detained individual.
Therefore, option 4, Habeas corpus, is the correct answer.