These links are:
1. FAST Search Keyword
2. FAST Search site Promotion and Demotion
3. FAST Search User Contenxt
I have created a site based on FAST Search Center Site Template and strangely this site does not show these links.
That was very strange as these links are related to FAST implementation and a site based on FAST Template does not show these. On further investigation I found that the SharePoint Server Enterprise Site Collection Feature is not activated by default when we create a site based on FAST Search Center Template.