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

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 difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?

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Diameter,`AB=17m`
`AC-BC=7`
`angle ACB=90^o`
using pythagoras theorem,
...
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