Thank you for sharing details on your scenario.
First of all I would like to mention that Test Studio or the Testing Framework start the browser window at its location and widnows size where it was last closed. So if you would like to open the browser at different location on screen and window size you could open an instance of the desired browser and resize and move it to the desired location. Then close it and start any test.
In regards the quadrants you would need to capture I guess you have in mind quadrants on the desktop. And if this is so it is important to mention that Test Studio/Testing Framework is an automation tool for web applications and thus could only interact with the browsers and elements in the html.
I hope this information will be useful to you. Though in case of any further question please let me know.