Weird - most people have trouble running update 10 under Firefox as a matter of fact. How did you install it? Through java.com? Which version of internet explorer are you running? The 32 bits or 64 bits version?
Curious to know: fire up a registry editor and check the following values are all set to 1 :
HKLM\SOFTWARE\JavaSoft\Java Plug-In\10.11.2\UseJava2IExplorer (keys might be different in version since I'm using Update 11)
HKLM\SOFTWARE\JavaSoft\Java Plug-In\10.11.2\UseNewJavaPlugin (keys might be different in version since I'm using Update 11)
HKLM\SOFTWARE\JavaSoft\Java Runtime Environment\1.7.0_10\MSI\IEXPLORER
Did you also make sure the plug-in is not disabled by the browser itself?
I agree - check to make sure IE itself hasn't disabled Java.
Since you're using Java 7.10, please also check the Security tab in the Java Control Panel which can be found in the Windows Control Panel.
While in the Java Control Panel, check also the Advanced tab and make sure Microsoft Internet Explorer is checked under 'Default Java for browsers'
Alternatively check this registry key: HKCU\Software\AppDataLow\Software\JavaSoft\DeploymentProperties
For this setting: deployment.webjava.enabled
Make sure its set to 'true' to enable java; if its 'false' it disables java.