How to leave an invisible TabPage inside a TabControl?

Invisible is impossible, but it can have the same effect by removing and adding TabPage to TabControl :

tbControl.TabPages.Remove(tabPage);
tbControl.TabPages.Add(tabPage);

You can unlink TabPage from TabControl in question through Parent property, without having to remove it:

suaTabPage.Parent = null;

And to bind, just indicate TabControl :

suaTabPage.Parent = tbControl;