Question

Example 17 : A pole has to be erected at a point on the boundary of a circular park c: 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?​

Answer 1

Answer:

b2 – 4ac = 72 – 4 × 1 × (– 60) = 289 > 0. So, the given quadratic equation has two real roots, and it is possible to erect the pole on the boundary of the park. Therefore, x = 5 or – 12. Since x is the distance between the pole and the gate B, it must be positive

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Answer 2

Answer:

See the above attachment

Step-by-step explanation:

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