public domain different from nodes domains

[spicymango]

Hi,

I need help in the following senario.

I have a public site with domain mywebsite.com

When I type in mywebsite.com request come to a load balancer. I have 3 web servers on which my site is running, with domains

web100.mywebsite.com
web200.mywebsite.com
web300.mywebsite.com

These servers can not be access from public only can be accessed internally (intranet ie

http://web1.mywebsite.com)

When a request comes Load balancer decides which webserver is least bussy and send the request to that server.

Now my question is if I am setting cookie (using javascript) and not defining the cookie domain. For my site mywebsite.com, will my cookie be set for domain
mywebsite.com or for the domain of internal boxes like web100.mywebsite.com

I must mention on the browser domain always stay as mywebsite.com ... no matter what server at the back end is processing the request

Thanks