What is the role of maxilla and relationship to nasal cavity?

Anatomical question: The maxilla is the upper jaw and it projects superiorly into the major bone of the face at the side of the nose. I am not sure what you mean by its role but it is the source of the upper teeth and it covers the largest sinus of the face, the maxillary sinus. The maxilla is lateral to the nasal bones but the nasal septal cartilage is located in a ridge of the maxillary bone. I hope this helps.