Google Analytics works on statistics. It allows businesses/websites to get an insight into what their customer's needs and wants are.
Out of the answers you've given, I would say it is a site Management Tool.
Cancelling out: (and reasons for cancelling them)
Search Engine - Google on its own is a search engine, however, Analytics is a 'Subsidiary' if you will.
Google Chrome is a Web Browser - Not the sector of Google Analytics.
Security Services - It does not encrypt anything (or make anything safer for users)