Final answer:
Tonsillitis is the inflammation of the palatine tonsils, which are situated laterally in the oropharynx at the area of the fauces.
Step-by-step explanation:
Tonsillitis is the inflammation of lymphoid nodules that are located along the inner surface of the pharynx. These nodules play an essential role in developing immunity to oral pathogens. Specifically, tonsillitis often refers to the inflammation of the palatine tonsils, which are a pair of tonsils located laterally in the oropharynx near the fauces.
The other types of tonsils are the pharyngeal tonsils, also known as adenoids when swollen, which are found at the superior portion of the nasopharynx, and the lingual tonsils at the base of the tongue. Therefore, the correct answer to the question "Tonsillitis is inflammation of the" is B. Palatine tonsils.