Which of the following is not the branch of maxillary branch of external carotid aery

The posterior tympanic aery is a branch of the posterior auricular aery which is a branch of the external carotid aery.The maxillary aery is divided into three poions by its relation to the lateral pterygoid muscle:First (mandibular) pa: posterior to lateral pterygoid muscle Branches:Deep auricular aery Anterior tympanic aery Middle meningeal aery Accessory meningeal aery Inferior alveolar aery Second (pterygoid or muscular) pa: within the lateral pterygoid muscle Anterior deep temporal branchesPosterior deep temporal branchesPterygoid branchesMasseteric aeryBuccinator aeryThird (pterygopalatine) pa: anterior to lateral pterygoid muscle Posterior superior alveolar aeryInfraorbital aery Aery of the pterygoid canal Pharyngeal aery Greater (descending) palatine aery Sphenopalatine aery - terminal branch Reference: Chaurasia; 6th edition