What you want to achieve is not available out of the box because the more intuitive behavior for a tooltip in most of the scenarios is to be "intelligent enough" to detect browser boundaries and to reposition itself. However, you could override this behavior by putting the following script I prepared for you on your page:
$T = Telerik.Web.UI;
$T.RadToolTip.prototype._oldCreateUI = $T.RadToolTip.prototype._createUI;
For your convenience I prepared and attached a sample page - resize the browser to a smaller size and show the tooltip - it will not reposition. Please, test my suggestion and let me know how it goes.
All the best,
the Telerik team
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