Step 1: The question links a glaucoma drug to lowered intraocular pressure (ocular hypotension) together with systemic apnea in an infant. The key is a drug that crosses the immature blood-brain barrier.
Step 2: Brimonidine is a relatively selective alpha-2 agonist that lowers intraocular pressure by reducing aqueous production and increasing uveoscleral outflow.
Step 3: In infants and young children, brimonidine readily crosses the blood-brain barrier and causes central nervous system depression. Reported effects include bradycardia, hypotension, hypothermia, hypotonia and apnea, so it is contraindicated in this age group.
Step 4: Latanoprost (prostaglandin analogue), timolol (beta-blocker) and dorzolamide (carbonic anhydrase inhibitor) lower IOP but are not the classic cause of apnea in infants. Hence the answer is brimonidine, option (c).