Answer:
browser
Step-by-step explanation:
the URL is the address that you either type or copy into the address line of the browser.
you can usually use a search engine as a web page (and using its URL address) in your browser
and yes, when clicking on a link of the result of a search in a search engine this results in a copy of that URL of the link into the address line of your browser (either for a new tab or window or in the existing window).
a directory is just a list of content either in your file browser or on a web page/service in your web browser.