My Solution - I was getting the error "Live file system repair is not supported"... and was unable to resize my 10.9 mac partition to use the full space of a drive after deleting a suddenly failed Windows 7 bootcamp partition.
Here is what solved my problem, your mileage may vary.
My bootcamp partion failed and would not boot or show up as a selectable boot disk from the startup disk manager in system preferences or by holding option and having it avalable as a selectable boot disk.
There are a few things that changed right before this. I bought a new toshiba backup drive from best buy which was formatted by default as NTFS. Because I was mainly going to use it as a back up drive from my windows partion I opted to leave it NTFS and installed the Tuxera NTFS driver that came with the disk. This is what I believe was the first issue. After about two weeks and 20gigs of the new Elder Scrolls beta, i was out of room on the bootcamp drive and decided to repartition it to giveit an extra 50 gigs... the resizing failed and that was the start of my troubles. After that the windows partion would not boot. The windows partition WAS still available from the mac side so I backed it up with carbon copy and started the process of re-installing windows via bootcamp because no matter what I did I couldn't get the windows partition "blessed" or bootable again.
I opened disk utility and tried to delete the bootcap partition.. i cracked open bootcamp to start again but it would fail on the windows re-partion. I ran verify disk on the drive and it said it had errors. The NTFS partion was deleted but disk utility would not reclaim the space..
Here is where part two of what I believe the problem was.. I totally screwed up while trying to re-re-format the bootcamp partion and deleted a backup mac partion that had a bunch of files on it.. so I downloaded DiskWarrior.. which failed to repair the main parition, the boocamp partion or recover any file from the dive I accidently erased.. so I found a ulility called diskdrill to try and recover the partion I deleted, putting recovering the space from the bootcamp partion on hold...
When I installed disk drill, it asked me if I wanted to let it monitor my S.M.A.R.T. status of my drives.. I said yes, because I though that sounded like a good idea.. Ii recoved my files from my drive nicely and I started back with the recaiming the space of the failed bootcamp drive. This is when I started getting the "Life file system repair is not supported" error.. I ran disk utility, I ran DiskWarrior again.. both repaired the drive this time, both said the drive was fine.. neither would resize the mac partion to reclaim the bootcamp space.
I finally found this thread.. and I read the part about the Tuxera NTFS drivers and the MacFuse drivers causing issues with formatting the drive. This is when I noticed the that when these drivers are loaded, Disk Utility has (2) NTFS formatting options available from the partition manager. You can format as "NTFS" and then you can format as "NTFS_Tuxera". I believe that if you triy to parition a drive with either the Tuxera or MacFuse software installed and try to partion your drive, you will loose the ability to boot from the drive, mainly because I think Disk Utility defaults to the Tuxera_NTFS ans not the Apple NTFS supplied with Disk Utility. What ever the Tuxera NTFS is, as far as I can tell, is not supported when booting. It must change the flavor or the NTFS type so that apple doesn't recognise it as a bootable partion anymore... SO.. DELETE or DISABLE Tuxera or MacFUSE before changing any partion sizes.. This fixed my ability to make a bootable windows partiton. HOWEVER.. i still got the error about the "Live File System Repair Is Not Supported.."
OK.. now, as far as the the error... I could finally boot a windows drive and it showed up in the system boot disk selector.. but I was still getting the error. After one of my many recovery disk boots, I actually saw something that I'm not sure how I missed before.. when It was throwing that error, in the details window, the repartioning failed because it could not "unmount" the drive to finalize the re-partion.. Nothing as far as I could tell was using the drive, so why it was failing to unmount had me scrathing my head..
Remember that DiskDrill software I installed that asked me to monitor my S.M.A.R.T. status?.. well i disabled it.. and wa-la.. the error went away while using disk utility from the recovery disk and I was able to resize my partition. I reproduced this three times to make sure that was it.. but thats just the recovery disk version of disk utility..
when I booted to the desktop and tried to repartion I was getting the same error again.. so I removed iStat-Menus (which also monitors S.M.A.R.T status.). and wa-la! I could re-size partitions and created new partions at will with no more errors...
Everything is working as expected now....
Moral of the story.. Delete or disable any third party NTFS drivers like tuxera or macfuse before partioning or re-partioning your drives.. then disable any third party software that monitors your your S.M.A.R.T. drive status like DiskDrill or iStats-Menu..