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Dear all,<br />
Thank you for your comments. First it seemed that it would be easier to manage if I put the hyper-v on the domain, but there may be potential issues like kapsionu pointed out. So I decided to leave it without joining the domain.<br />
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Now I just have to go through how to manage the host from another 2012 R2 machine. It sounds a bit complicated, but it is just one-time thing.
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I only have one license of Windows server 2012 R2, and I am running 1 DC and 1 file server at a remote location.<br />
Do I want to put this host on the domain whose DC is its guest?<br />
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It is a very small environment, so I really don't need 2 DCs. I am wondering if I leave the host as is (workgroup), or put it on the domain.
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I only have one license of Windows server 2012 R2, and I am running 1 DC and 1 file server at a remote location.
Do I want to put this host on the domain whose DC is its guest?

It is a very small environment, so I really don't need 2 DCs. I am wondering if I leave the host as is (workgroup), or put it on the domain.

Hyper-V host on the domain when DC is its guest

Hyper-V is a native hypervisor; it can create virtual machines on x86-64 systems and supersedes Windows Virtual PC as the hardware virtualization component of the client editions of Windows NT. A server computer running Hyper-V can be configured to expose individual virtual machines to one or more networks. Hyper-V Server supports remote access via Remote Desktop Connection. Administration and configuration of the host OS and the guest virtual machines is generally done over the network.

Hyper-V

Active Directory (AD) is a Microsoft brand for identity-related capabilities. In the on-premises world, Windows Server AD provides a set of identity capabilities and services, and is hugely popular (88% of Fortune 1000 and 95% of enterprises use AD). This topic includes all things Active Directory including DNS, Group Policy, DFS, troubleshooting, ADFS, and all other topics under the Microsoft AD and identity umbrella.