Trouble shooting steps for a possible video card failure are as follows :
Inspect the monitor:
Make sure that the monitor is getting the power and check for loose connectivity.
Check the video card:
If the monitor is working fine, then the next step would be to check the video card. Physically check the video card for any damages or burnt chips on the card. If it is ok then firmly reconnect the card in the slot and see if you see any display.
