Home
Class 12
MATHS
Let AP and BQ be two vertical poles at p...

Let AP and BQ be two vertical poles at points A and B, respectively. If `A P = 16 m , B Q = 22 m a n d A B = 20 m`, then find the distance of a point R on AB from the point A such that `R P^2+R Q^2`is minimum.

Text Solution

Verified by Experts

The correct Answer is:
10m
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Questions From NCERT Exemplar|7 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 6 (a) (Short Answer Type Questions)|15 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Let AP and BQ be two vertical poles at points A and B respectively.If AP=16m,BQ=22m and AB=20m then find the distance of a point R on AB from the point A such that RP^(2)+RQ^(2) is minimum.

AB and CD are two vertical poles of heights 15 ft.and 20 ft.respectively placed at a horizontal distance of 21 ft.Find the distance of a point M form A such that the sum of the distance of M from B and D is minimum.

In a triangle, P ,\ Q\ a n d\ R are the mid-points of sides B C ,\ C A\ a n d\ A B respectively. If A C=21\ c m ,\ B C=29 c m\ a n d\ A B=30 c m , find the perimeter of the quadrilateral A R P Q

In square A B C D ,\ P\ a n d\ Q are mid-point of A B\ a n d\ C D respectively. If A B=8c m\ a n d\ P Q\ a n d\ B D intersect at O , then find area of O P B

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

In P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N Q R .

A, B and C are the points (a, p), (b,q) and (c,r) respectively such that a, b and c are in AP and p,q and r in GP. If the points are collinear, then

In Figure, X\ a n d\ Y are the mid-points of A C\ a n d\ A B respectively, Q P\ B C\ a n d\ C Y Q\ a n d\ B X P are straight lines. Prove that a r\ (\ A B P)=\ a r\ (\ A C Q)

In a A B C , If L a n d M are points on A B a n d A C respectively such that L M B Cdot Prove that: a r ( A B M)=a r ( A C L)

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Frequently Asked Questions
  1. Find two positive number whose sum is 24 and their sum of square is mi...

    Text Solution

    |

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

    Text Solution

    |

  3. Show that the rectangle of maximum perimeter which can be inscribed...

    Text Solution

    |

  4. Show that the triangle of maximum area that can be inscribed in a g...

    Text Solution

    |

  5. An open box with a square base is to be made out of a given iron sheet...

    Text Solution

    |

  6. 40. A given quantity of metal is to be cast into a half cylinder with ...

    Text Solution

    |

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

    Text Solution

    |

  8. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  9. Let AP and BQ be two vertical poles at points A and B, respectively. ...

    Text Solution

    |

  10. If length of three sides of a trapezium other than base are equal t...

    Text Solution

    |

  11. A square piece of tin of side 24 cm is to be made into a box without t...

    Text Solution

    |

  12. A metal box with a square base and vertical sides is to contain 102...

    Text Solution

    |

  13. A tank with rectangular base and rectangular sides, open at the top...

    Text Solution

    |

  14. Show that the right circular cylinder, open at the top, and of give...

    Text Solution

    |

  15. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  16. An Apache helicopter of enemy is flying along the curve given by y=x^...

    Text Solution

    |

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

    Text Solution

    |

  18. A cuboidal shaped godown with square base is to be constructed. Three ...

    Text Solution

    |

  19. A manufacturer can sell x items at a price of Rs. (5-x/(100)) each. Th...

    Text Solution

    |

  20. A person wants to plant some trees in his community park. The local nu...

    Text Solution

    |