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

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 t

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The correct Answer is:
5 and 12 m
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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?

Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gets A and B on the boundary is 7m. Find the distance between pole and gate B.

Knowledge Check

  • A point P is moving in a plane such that the difference of its distances from two fixed points in the same plane is a constant. The path traced by the point P is a/an

    A
    Circle
    B
    parabola
    C
    Ellipse
    D
    Hyperbola

  • A pole stands at a point A on the boundary of a circular park of radius a and subtends an angle alpha at another point B on the boundary. If the chord AB subtends an angle alpha at the centre of the path, the height of the pole is

    A
    `2a cos (alpha//2) tan alpha`
    B
    `2a sin (alpha//2) cot alpha`
    C
    `2a sin (alpha//2) tan alpha`
    D
    `2a cos (alpha//2) cot alpha`

    • Similar Questions

    Explore conceptually related problems

    Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gets A and B on the boundary is 7m. Find the distance between pole and gate A.

    Aniket is studying in X standard. He created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gets A and B on the boundary is 7m. Find the area of triangle ABP.

    Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gets A and B on the boundary is 7m. Find a quadratic equations in variable x for above situation.

    Aniket is studying in X standard. He is created a pole at on the boundary of a circular park of diameter 17 m in such a way that the difference of its distances from two diametrically opposite fixed gets A and B on the boundary is 7m. What is the length of (AP+BP) ?

    A point P moves in such a way that the ratio of its distance from two coplanar points is always a fixed number (!=1). Then,identify the locus of the point.

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