Hello,
Thank you for posting your query in Microsoft Community Forum.
- What is the make & model of your LCD TV and your PC?
- What do you mean when you say, "the resolution of the HDMI output changes to a resolution which my LCD TV does not support"?
- Do you get any error message when you say, "If I then disconnect the projector, the LCD resolution does not change back"?
- What is the resolution at which it changes, when you select the "duplicate" option?
Basically, when displays are set to "extended", individual properties of each display (monitor, LCD, Projector) is conserved (maintained) but when the display is duplicated the resolution set on the computer is forced on the other displays connected to the computer.
Also, please refer to the section: How Windows manages multiple displays in the following link:
Understanding multiple monitors
http://windows.microsoft.com/en-au/windows-vista/understanding-multiple-monitors
Hope this information is helpful.