Yes, if your graphics card (GPU for short) can only do max of 1280*1024, going for a 19" widescreen TFT will need either 1440*900 or 1600*900 at its native resolution - this is when everything is at its sharpest on a modern flat-screen, & is the recommended resolution to use it at.
But you never know with newer drivers. I'm using an old ATI Radeon 7000 on one of my PCs & it can go up to 1920*1200 on a 24" TFT monitor. And so can an integrated GPU do on another.
Start by telling us your GPU make & model - we may be able to find out if its capable of those resolutions or not. If not, we can suggest an alternative. G