Suddenly got DNS problem with OSX 10.9.2
If you're confident it's a DNS issue and not a NIC (network interface card, e.g. AirPort vs. Ethernet) issue, then try the following:


Flush DNS with sudo killall -HUP mDNSResponder via http://support.apple.com/kb/ht5343.
Manually change your DNS server to something else, e.g. 8.8.8.8.  Do that using the "+" button next in the DNS pane you're showing in your post, the button next to "IPv4 or IPv6 addresses."