in·quis·i·tive 
(ĭn-kwĭzĭ-tĭv)
(ĭn-kwĭzĭ-tĭv)adj.
1. Inclined to investigate; eager for knowledge: inquisitive investigators.
2. Unduly curious and inquiring: "You will have privacy without inquisitive visitors and intrusive medical assessments" (Elisabeth Noble).
[Middle English inquisitif, from Old French, from Late Latin inquīsītīvus, from Latin inquīsītus, past participle of inquīrere, to inquire; see INQUIRE.]
in·quisi·tive·ly adv.
in·quisi·tive·ness n.