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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 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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The correct Answer is:
5m from the gate B and 12m from the gate A.
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