Internet Apps are not working but browser works just fine and i am able to access websites I have a rooted AT&amp;T HTC inspire 4G handset, i am not able to use any internet apps but i am able to use the in build browsers to access internet over a WiFi.

I tried creating  hotspot and share that internet with this HTC phone and everything worked just fine all the Apps and internet.

Please help me with this, I did tried syncing background data, and WiFi proxy setting, but No luck yet.
That's a stumper - have you tried calling up your carrier and making sure that it's not an issue with them?

Have you installed any permissions privacy management apps?  They might be blocking internet connectivity by default.

Failing that, the only suggestion I would be able to make is to do a full factory reset... not very appealing, I know.