Hi Parvind,
Thanks for your interest in Syncfusion products.
[#1]. To show / hide a control you can make use of SetDockVisibility method as follows,
this.dockingManager1.SetDockVisibility(control,true);
and there are option to autohide the control on applicaion load, have a look at the following documentation.
http://help.syncfusion.com/ug_83/User%20Interface/Windows%20Forms/Tools/default.htm?turl=Documents/hidingcontrols.htm[#2]. DockingManger has property to get the ActiveControl, and there is no direct API to get the active tab as the dock sates are dynamically changed. By gaining reference to the tabcontrol you can get the active tab,
refer the attached sample for the implementation.
[#3.]. With the above implementation you can raise an event at the MouseDown event based on which tab is active.
Please let us know your concerns, and we are happy to assist you.
Regards
Vallarasu S.
DockingMangaerSample_65fe447a.zip