The phrase alcoholic paranoia is itself the cue: paranoia in classic psychiatry means a stable, organised delusional state. In the alcohol setting this is alcohol-induced delusional disorder, and its trademark is enduring delusions, most often of a spouse's infidelity, the so-called Othello or pathological jealousy syndrome.
So the search is for the option that names persistent false belief. Fixed delusions does exactly that and is the answer.
The remaining choices belong to other alcohol-related states. Hallucinations are the signature of alcoholic hallucinosis, a separate diagnosis, so they are misdirection here. Drowsiness reflects acute intoxication or sedation. Impulsive agitation fits withdrawal phenomena or delirium tremens rather than a steady paranoid delusion.
Because alcoholic paranoia is built around durable, firmly held delusions, the correct association is fixed delusions.
\[\boxed{Fixed\ delusions}\]