I am trying to create linked clone of the virtual machine, Using vCenter UI i am able to create full clone of the virtual machine. But there is no option available on UI to cretae a linked clone of the virtual machine.Please do let me know how to create a linked clone on vCenter as well as is there any way to create a linked clone on vSphere.
There is no UI for linked clones - they can be created by Horizon, PowerCLI, or API methods.
Here is an example: Cloning virtual machines in vSphere series – Part 3: Linked Clones | IT Gaiden
If you are running anything like production workloads you should consider an upgrade - 6.0 is out of support and 6.5 only has 14 months remaining.