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A pole has to be erected at a point on ...

A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it possible to do so? If yes, at what distances from the two gates should the pole be erected?

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To solve the problem, we need to determine if it is possible to erect a pole on the boundary of a circular park such that the difference in distances from two diametrically opposite gates A and B is 7 meters. The diameter of the park is given as 13 meters. ### Step-by-Step Solution: 1. **Identify the Given Information:** - Diameter of the circular park = 13 meters. - The difference in distances from the pole to gates A and B = 7 meters. ...
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