any ways the point is that can fedora have that kind of support because new versions come every now and then so can we look for support on fedora?
Only community support is available.
for example if I am using fedora core 6 how long can I get updates and new packages for the same?
Updates for Fedora Core 6 wil be available on the official Fedora repositories till Fedora 8 Test 2 is released. After that no new updates are added.
Regards, Debarshi