Home
Class 12
MATHS
A window is in the form of a rectangle s...

A window is in the form of a rectangle surmounted by a semi-circular opening. The total perimeter of the window is 10 m. Find the dimensions of the window to admit maximum light through the whole opening.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PSEB|Exercise Exercise|189 Videos
  • APPLICATION OF INTEGRALS

    PSEB|Exercise Exercise|38 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    PSEB|Exercise Exercise|151 Videos

Similar Questions

Explore conceptually related problems

A window is in the form of rectangle surmounted by a semi-circular opening. The perimeter of window is 30 m. Find the dimensions of window so that it can admit maximum light through the whole opening.

A window is in the form of a rectangle surmounted by a semi-circular opening. The total perimeter of the window is 20 m. Find the dimensions (height, breadth and radius of the semicircle) of the window so as to admit maximum possible light through the whole opening.

A window is in the form of a rectangle surmounted by a semi-circular opening. The total perimeter of the window is 100 meters. Find the dimensions (height, breadth and radius of the semicircle) of the window so as to admit maximum possible light through the whole opening

A window is in the form of a rectangle surmounted by a semicircular opening. The total perimeter of the window is 10 meter. Find the dimensions (height, breadth and radius of the semicircle) of the window so as to admit maximum possible light through the whole opening.

A window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 m, find the dimensions of the rectangle that will produce the largest area of the window.

PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. Find the intervals in which the function f given by f(x) = x^3 + (1/x^...

    Text Solution

    |

  2. Find the maximum area of an isosceles triangle inscribed in the ellips...

    Text Solution

    |

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

    Text Solution

    |

  4. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  5. A window is in the form of a rectangle surmounted by a semi-circular o...

    Text Solution

    |

  6. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  7. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

    Text Solution

    |

  8. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

    Text Solution

    |

  9. Find the points at which the function f given by f(x) = (x-2)^4(x+1)^3...

    Text Solution

    |

  10. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  11. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  12. Let f be a function defined on [a, b] such that f'(x)>0 for all x in ...

    Text Solution

    |

  13. Show that the height of the cylinder of maximum volume that can be ins...

    Text Solution

    |

  14. Evaluate int dx/(x^2+4x+8)

    Text Solution

    |

  15. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  16. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  17. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

    Text Solution

    |

  18. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

    Text Solution

    |

  19. The normal to the curve x^2 = 4y passing (1,2) is:

    Text Solution

    |

  20. The points on the curve 9y^2 = x^3 , where the normal to the curve mak...

    Text Solution

    |