The standards of physical fitness required for a security guard are typically governed by the ”Private Security Agencies (Regulation) Act, 2005” and the ”National Standards for Physical Fitness” guidelines. These regulations set the fitness standards that security personnel must meet to ensure their readiness to perform security duties.
There is a circular park of diameter 65 m as shown in the following figure, where AB is a diameter. An entry gate is to be constructed at a point P on the boundary of the park such that distance of P from A is 35 m more than the distance of P from B. Find distance of point P from A and B respectively.