Hi,
The cause of it being displayed is because you have html in your site title like this:
<FONT SIZE="4">Disease Management Software op Maat</FONT>
and we are using the site title also for the name of the search engine open search plugin so the link is being rendered like this:
<link rel="search" type="application/opensearchdescription+xml" title="Fit4care <FONT SIZE="4">Disease Management Software op Maat</FONT> Site Search" href="http://www.fit4care.nl/SearchEngineInfo.ashx" />
whereas you would not normally see the link at all if those font tags were not there. The only immediate solution I know is to remove that from your site title and just put that fragment into your layout.master file. The site title is not really expecting html content in the title.
Open search is a plugin that can add your site search into the search box in Firefox and IE, there is some info about it at the bottom of this page:
http://www.mojoportal.com/site-search-overview.aspx
Note also that <FONT> is not a valid tag in xhtml, really you should put it in layout.master and just wrap it in a span with a css class and set the font size in the css class.
Hope it helps,
Joe