Points
O,A,B,C,… are shown in figure where
OA=2AB=4BC=… so on. Let
A be the centroid of a triangle whose orthocentre and circumcentre are
(2,4) and
(72,52) respectively. If an insect starts moving from the point
O(0,0) along the straight line in zig-zag fashion and terminates ultimately at point
P(α,β), then the value of
α+β is
![](https://search-static.byjusweb.com/question-images/byjus/ckeditor_assets/pictures/837812/original_18093.PNG)