When a camcorder can shoot still images, how good is the picture quality?

I have a Fuji F10 digital camera, which in my opinion takes great pictures. If I purchase a camcorder that can also take still images, will the quality of those still images even come close to my Fuji?

Normally, digital cameras would shoot stills much better than vcam as these are really designed for pictures.
In like manner, a camcorder would definitely record much better videos than a digicam... that's what they are designed to do.
So, if you won't compromise on quality, you will have to have both.

not really the best picture i have seen is using a canon hd camcorder which costs 2,200 pounds sterling. and even still the picture was a little blurry and distorted. maybe buy a mintiture video camera like some that vivitar have or buy a seperate video camera

From what I have seen with my Samsung DVD Camcorder, not good at all. Use digital camera, even the low end ones will fare much better.

The auto settings on a camcorder are for 1/30 sec shutter which is what is used for video. also the CCDs are optimized for 480x720 images. That is not a "square" pixel size, so the still image has to be interpolated to get 480x640. Most videocameras are not easy to set manual adjustments that you take for granted on a still camera. And then there is the flash, most camcorders don't have them. So it is not likely you would be able to find a camcorder that ever makes a picture as good as the Fuji.