leeb2013 :
I doubt the 560 supports DX11 ether.
I realize this is an old thread but please don't post obvious incorrect information here. It is documented on Nvidia's site and well known that the Nvidia cards started supporting DX11 with the GTX 4XX series. Not only that, but due to the unified shader architecture of all Nvidia DX11 cards, they also support the DX12 API. This is documented and a fact.
People are comparing frame rates of older, slower computers with a GTX 560 Ti and new computers with a GTX 750 ti and not understanding that the frame rate difference has more do do with the computers than the cards. Although the GTX 560 Ti is older, it has twice the bandwidth. If you were to compare the same card on exactly the same system you would get roughly the same performance. One card has better architecture, but a bandwidth bottleneck and the the other has inferior architecture but much better bandwidth.
Rationale :
...which are admittedly the only games I bothered to compare).
You can't compare only two games running on your card on a modern computer with someone else's card on an older computer. That is just ridiculous. Please don't post such comparisons here.