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
Image Version: 6.1.7600.16385
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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.