The router doesn't GET DNS settings from anywhere, it allocates them to your PC via DHCP. That path to the TCP/IP properties is for your computer. It is telling the PC to get it's IP address and DNS from the router. All routers have an Admin mode which you enter via your browser with an address something like 192.168.1.1 and if you are being told that the DNS settings are wrong you need to change them in the router.
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Do you know that we're all in line for succession to the throne? Really?
Well, if forty-eight million, two hundred thousand, seven hundred and one people died I'd be Queen.