Browser Modes in Internet Explorer were meant to give site owners and developers time to fix their web applications. An HTTP header or a meta tag could force newer editions of IE to behave like its older versions. The Browser Mode feature in Internet Explorer lets web developers test the website and web applications. But you cannot find this setting in Internet Explorer 11.
Change Browser Mode in IE 11
Browser Mode was removed in IE 11 Preview but returned in the final version, due to demand from developers.
Internet Explorer 11 provides the ability to switch browser modes. The only thing is that, it is not refereed to as Browser Mode but Document Mode in Internet Explorer 11.
Document Mode in Internet Explorer 11
To access this setting, open Internet Explorer 11 and click on F12, to open the Developer Tools.
From the left panel, towards the bottom, select Emulation – or simply press CTRL+8 to open it.
In the Emulation tab in the developers tools, you will see Mode, Display and Geolocation settings.
The Document Mode selection lets you choose how Internet Explorer interprets the page, and can be useful for diagnosing compatibility issues. There will be a (Default) next to the mode being used by the page. You can choose another mode, the number indicates the version of Internet Explorer. Each mode makes a series of changes to the browser’s behavior so that it closely emulates the older browser version. The page reloads when you choose a new mode so that the web server and client-side markup is reinterpreted in the new mode.
You can read more about the Document Mode in Internet Explorer 11 at modern.ie and at the IE Dev Center.