## **Core Concept**
The maxillary artery is a terminal branch of the external carotid artery that supplies blood to the face. It has several branches that can be categorized based on their location and relation to the surrounding structures. Understanding the branches of the maxillary artery is essential for various medical and surgical procedures.

## **Why the Correct Answer is Right**
The maxillary artery divides into terminal branches after passing through the pterygopalatine fossa. Its branches include the **infraorbital artery**, **pterygopalatine artery (or terminal branches like the anterior superior alveolar artery)**, and **sphenopalatine artery**, among others. The **superficial temporal artery** is actually a terminal branch of the external carotid artery, similar to the maxillary artery, and not a branch of the maxillary artery.

## **Why Each Wrong Option is Incorrect**
* **Option A:** The **infraorbital artery** is indeed a branch of the maxillary artery. It arises from the maxillary artery within the pterygopalatine fossa and supplies the skin and muscles of the face.
* **Option B:** The **sphenopalatine artery** is a significant branch of the maxillary artery, supplying the nasal cavity.
* **Option D:** The **posterior superior alveolar artery** also originates from the maxillary artery and provides blood supply to the upper teeth.

## **Clinical Pearl / High-Yield Fact**
A key clinical point to remember is that the maxillary artery is often considered for embolization or ligation in cases of severe epistaxis (nosebleeds) due to its supply to the nasal cavity through branches like the sphenopalatine artery.

## **Correct Answer:** . **Superficial temporal artery**