There are several types of merchandise that retailers sell, including:
1. Convenience merchandise: These are products that customers purchase frequently and with minimal effort, such as snacks, toiletries, or groceries. Example: Chips, toothpaste.
2. Shopping merchandise: Products that customers spend more time and effort evaluating before purchasing, such as electronics or clothing. Example: Smartphones, shoes.
3. Specialty merchandise: Items that are unique or highly specialized, often with limited availability, requiring a specific purchase decision. Example: Luxury watches, high-end designer clothing.
4. Impulse merchandise: Items that customers often purchase on a whim, typically located near checkout counters. Example: Magazines, candy bars.
5. Seasonal merchandise: Products tied to specific seasons or holidays, such as Christmas decorations or summer apparel. Example: Halloween costumes, swimsuits.
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.