Concept:The guarantee of citizens' rights depends on legal mechanisms that protect individual freedom from unlawful state action.
Explanation:The writ of habeas corpus is a legal order that requires any person detaining another to bring the prisoner before a court.
This allows the court to check whether the detention or imprisonment is lawful.
If the detention is not justified, the court can order the release of the citizen.
Therefore, this writ directly safeguards the fundamental right to personal liberty.
Gerrymandering is the manipulation of electoral boundaries and does not secure citizens' rights.
Prerogative refers to special rights or privileges of an official, not a general guarantee for citizens.
Political immunity protects certain officeholders from prosecution, but it is not a general rights guarantee.
So, among all the options, only the writ of habeas corpus serves as a practical guarantee of a citizen's rights.
Answer:B. the writ of habeas corpus