It wouldn't be a problem with the graphics card. If it was hardware related you would get problems such as no picture at all, constant crashing, slow graphics etc. The problem you are having is software related. My guess is that the signal from your tv isn't being picked up which is why you are not getting these options. This could be because you don't have the right type of connection selected or that your tv is incapable of providing that signal in which case all you are doing is sending the picture one way from the computer to the tv.
In the Nvidia control panel under the heading "Change the signal or HD format" do you have the tv and monitor showing?
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