hi I got solution before week itself ,the Autocomplete box is composed of many things among that textbox is also one ,so we need to get the textbox from the autocomplete by traversing the tree
Inside the last focus of autocomplte box we can put like
AutoCompleteBox autoObject = sender as AutoCompleteBox;
TextBox textObject = VisualTreeHelper.GetChild(VisualTreeHelper.GetChild(autoObject, 0), 0) as TextBox;
textObject.SelectAll();
textObject.SelectionLength = 0;
so that the begining part of text will be diplayed on autocomplete last focus
Cheers,