Monitoring the continuous moving objects while monitoring the two fundamental things are privacy and efficiency are considered. First, evaluating the safe region is nothing but creating the safe region and the monitoring is done when objects are moving from one region to another region. We provide detailed algorithms for query evaluation/reevaluation and safe region computation in this framework. The framework distinguishes itself from the existing work by being the first to holistically address the issues of location updating in terms of monitoring accuracy, efficiency, and privacy, particularly, when and how mobile clients should send location updates to the server. Based on the notions of safe region and most probable result, this project performs location updates only when they would likely alter the query results.