A. If you need to remove IE from a Server 2008 R2 full install server (Server Core doesn't have IE installed), you can use the DISM command. I stress the IE can be very useful and if you just want to stop users from accessing the Internet or stop certain people from running IE, Group Policy might be a better option.
You list all your features using
dism /online /get-features
One of the features is Internet-Explorer-Optional-amd64, which you can remove with:
dism /online /disable-feature /featurename:Internet-Explorer-Optional-amd64
Deployment Image Servicing and Management tool<br> Version: 6.1.7600.16385<br><br> Image Version: 6.1.7600.16385<br><br> Disabling feature(s)<br> \\[=====================<h5><a name="100_0_">100.0%</a></h5>=====================\\]<br> The operation completed successfully.<br> Restart Windows to complete this operation.<br> Do you want to restart the computer now (Y/N)?Y
After the restart, it won't be available. If you need to add it back, replace /disable-feature with /enable-feature in the command above.