This setting is reflected in the General section of the Java Preferences utility, where you can see the option to enable the Web plug-in checked.

If you still need Java 6 for Web applets after installing Apple's latest updates, there is a way to restore it and override Apple's preference for the use of Oracle's Java 7.

With each new Java platform release, the stewards of the language always include a few new preview features that can be toyed with only if a developer knows how to unlock the capabilities at runtime.