You can show close button on tab pages of a tab control to let the users close a tab. Also you can show an add button for tab control to let the users add a new tab.
To do so, We will use an owner draw tab to show close icons on each tab an add icon on the last tab. We use DrawItem to draw close and add icons, MouseDown to handle click on close and add buttons, Selecting to prevent selecting of the last tab and HandleCreated to adjust tab width.
You need to set a suitable padding and set DrawMode to OwnerDrawFixed and also set the text of last tab page to empty string. We will use that tab as add button.
Handle click on close button and add button
You can handle MouseDown or MouseClick event and check if the last tab rectangle contains the mouse clicked point, then insert a tab before the last tab. Otherwose check if one of close buttons contains clicked location, then close the tab which its close button was clicked
Prevent selectin last tab
To prevent selection the last tab, you can handle Selecting event of control and check if the selecting tab is the last tab, cancel the event.
Draw Close Button and Add Button
To draw close button and add button, you can handle DrawItem event.
Adjust Tab width
Set the last tab text to empty string. Then to adjust tab width and let the last tab have smaller width, you can hanlde HandleCreated event and send a TCM_SETMINTABWIDTH to the control and specify the minimum size allowed for the tab width
Enhancements
You can enhance the implementation by using VisualStyleRenderer and also supporting different tab orientation and also adding rtl support.