Biju,
Sorry that you are seeing this issue. I could not replicate the issue at my end. I have added JBoss EAP 6.1.0 using the JBoss 7.x connector. I could deploy a simple web project without any issues.
Can you please switch to a new workspace, configure the server connector and try deploying a simple web project ? If the issue persists, please copy paste the contents of the server log for the JBoss EAP 6.1.0 and also share the contents of the .log file which is located at <workspace dir>/.metadata/.log to help us investigate further.
Also share your OS and version details.
Let us know how it works for you.