A couple of questions:
1. Have you tried the HDMI by itself?
2. Do you get a signal?
If YES, IMO it's a software/setup issue. In either CCC or in Windows (right click desktop>screen resolution) you need to set the display option to "duplicate display".
If NO, IMO it's a faulty HDMI connector on your VGA. RMA your card.
If the above doesn't work:
Does your TV support the same resolution as your monitor?
ex. If your monitor is set to 2560x1660 yet your TV can support 1920x1080 max, then you will not get a signal on your TV. You will then need to lower your monitor res to 1920x1080 or lower.
I've had experience with BOTH situations.
I hope this helps.