You only need active adapter is you plan on running more than 2 monitors at the same time from certain cards and only if they are all running the same type of connection. For example on my 7850 I could only run 3 displays from the mini displayport and hdmi if I had one active adapter. But I could run them all fine if I used one of each dp, hdmi, dvi.
With 2 monitors you will not have to worry.
For you, I would just run one dvi or dp to monitor 1 and one hdmi to monitor 2