You got a site:
http://www.mysite.com/test/

theres a index.html in there.

In the HTML source of the index.html file there a HREF link:
Href="/images/site.ico"

now will it ALWAYS be true that the actual full path of the ico file is:
http://www.mysite.com/images/site.ico

Or Could it or WOuld it always be:
http://www.mysite.com/test/images/site.ico