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Pink eye is conjunctivitis
which is infection of the outer covering of eyes. If your child has that it is best to show him to an Ophthalmologist as there can be complications which can be easily prevented if proper antibiotic drops are applied under medical supervision. If he is lethargic, irritable, drowsy and not feeding as well, it could be a sign of Meningitis
which needs urgent intervention by a Paediatrician.