Home
Class 12
MATHS
Two poles of height 16 m ans 22 m stand ...

Two poles of height 16 m ans 22 m stand vertically on the ground 20 m apart. Find a point on the ground, in between the poles, such that the sum of the square of the distances of this point from the tops of the poles is minimum.

Text Solution

Verified by Experts

The correct Answer is:
x = 10 m
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (SHORT ANSWER TYPE QUESTIONS - II)|3 Videos

  • APPLICATION OF INTEGRALS

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions - II|25 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos

Similar Questions

Explore conceptually related problems

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12m , find the distance between their tops .

Two poles of heights 6m and 11m stand on a plane ground. If the distance between the feet of the poles is 12m find the distance between their tops.

A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^(@) and from the samme point the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the pedestal.

A statue, 1.6m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^(@) and from the same point the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the pedestal.

Two vertical poles 20 m and 80 m high stand apart on a horizontal plane. The height of the point of intersection of the lines joining the top of each pole to the foot of the other is:

Two poles of equal heights are standing opposite each other on either side of the road, which is 80m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60^(@) and 30^(@) , respectively . Find the height of the poles and the distances of the point from the poles.

OSWAAL PUBLICATION-APPLICATIONS OF DERIVATIVES-TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)
  1. Prove that the height of the cylinder of maximum volume, that can be i...

    Text Solution

    |

  2. If the sum of the lengths of the hypotenues and a side of a right a...

    Text Solution

    |

  3. The sum of the perimeters of a circle and a square is k , where k is s...

    Text Solution

    |

  4. Find the area of the greatest rectangle that can be inscribed in an...

    Text Solution

    |

  5. Prove that the radius of the right circular cylinder of greatest cu...

    Text Solution

    |

  6. Show that the right-circular cone of least curved surface and given...

    Text Solution

    |

  7. Prove that the area of right-angled triangle of given hypotenuse is...

    Text Solution

    |

  8. An open box, with a square base, is to be made out of a given quant...

    Text Solution

    |

  9. Show that the height of a closed right circular cylinder of given s...

    Text Solution

    |

  10. Show that a cylinder of a given volume which is open at the top has...

    Text Solution

    |

  11. Find the point on the curve y^2= 2x which is at a minimum distance fro...

    Text Solution

    |

  12. Show that the semi-vertical angle of the cone of the maximum volume a...

    Text Solution

    |

  13. Show that all the rectangles with a given perimeter, the square has...

    Text Solution

    |

  14. A window has the shape of a rectangle surmounted by an equilateral ...

    Text Solution

    |

  15. Show that the volume of the greatest cylinder which can be inscribed i...

    Text Solution

    |

  16. Find the maximum area of an isosceles triangle inścribed in the ellip...

    Text Solution

    |

  17. An open tank with a square base and vertical sides is to be constru...

    Text Solution

    |

  18. A wire of length 28m is to be cut into two pieces. One of the piece...

    Text Solution

    |

  19. Two poles of height 16 m ans 22 m stand vertically on the ground 20 m ...

    Text Solution

    |

  20. The lengths of the sides of an isosceles triangle are 9+x^2,9+x^2 and ...

    Text Solution

    |