Home
Class 10
MATHS
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?

Text Solution

AI Generated Solution

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. ...
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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. What is the length of (AP+BP) ?

Knowledge Check

  • The locus of a point which moves so that the difference of the squares of its distance from two given points is constant, is a

    A
    straight line
    B
    plane
    C
    sphere
    D
    None of these

  • The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a

    A
    straight line
    B
    plane
    C
    sphere
    D
    none of these

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

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

    • Similar Questions

    Explore conceptually related problems

    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 the distance between pole and gate B.

    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 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.

    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.

    Home
    Profile