There's some more information that might help someone answer your question:
Have you tried a different monitor?
Have you tried a different display cable? i.e. hdmi, displayport, etc.
Does it provide display when plugged into your motherboard as opposed to the video card?
If not, try removing the RAM (please ground yourself first or wear an ESD band)
Use each stick of RAM one at a time and turn it on. If there is display when a certain stick is pulled out, that usually means you have a bad stick of RAM.
If none of that works, try removing the GPU and reset the CMOS. Plug it into the motherboard again and see if you get any display.
Otherwise there are a number of other potential issues. If you want to try this, respond back and let me know what happens.