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

A window is in the form of a rectangle surmounted by a semi-circle. If the total perimeter of the window is `30"\ m",` find the dimensions of the window so that maximum light is admitted.

A

`(20)/(4+pi) m, (20)/(4+pi)m`

B

`(30)/(4+pi) m, (30)/(4+pi)m`

C

`(20)/(4+pi) m, (40)/(4+pi) m`

D

`(30)/(4+pi) m, (60)/(4+ pi) m`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DEFINITEINTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS:(MCQ)|27 Videos

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos

Similar Questions

Explore conceptually related problems

A window is in the form of a rectangle surmounted by a semi-circle.If the total perimeter of the window is 30m, find the dimensions of the window so that maximum light is admitted.

A window is in the form of a rectangle surmounted by a semicircular opening.The total perimeter of the window is 10m. Find the dimensions of the window to 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 10 meters. Find the dimensions of the rectangle so as to admit maximum light through the whole opening.

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

A window is in the shape of a rectangle surmounted by a semi circle.If the perimeter of the window is of fixed length then the maximum area of the window is

A window is the in the form of a reactangle, surmounted by a semi - circle. If the perimeter be 15 metres, find the dimesnions so that greatest possible amount of light may be admitted in order that its area may be maximum.

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

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

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

NIKITA PUBLICATION-APPLICATIONS OF DERIVATIVES-MULTIPLE CHOICE QUESTIONS
  1. A metal wire of 36 cm long is bent to form a rectangle. Find its dimen...

    Text Solution

    |

  2. A wire of length l is cut into two parts. One part is bent into a circ...

    Text Solution

    |

  3. A wire of length 2 units is cut into two parts which are bent respe...

    Text Solution

    |

  4. A rectangle is inscribed in a semicircle of radius 1 unit. If its two ...

    Text Solution

    |

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

    Text Solution

    |

  6. A rectangular sheet of paper has the area 24 sq. meters. The margin at...

    Text Solution

    |

  7. If a rectangle of maximum area is inscibed in the ellipse (x^(2))/(a^(...

    Text Solution

    |

  8. Twenty metres of wire is available for fencing off a flower-bed in ...

    Text Solution

    |

  9. If P is the perimeter and r is the radius of a sector, then the area o...

    Text Solution

    |

  10. From a square cardboard of side 18 cms an open tank is made by cutting...

    Text Solution

    |

  11. From a metal sheet of area 192 sq. cm, a box with square base and open...

    Text Solution

    |

  12. Determine the points on the curve x^2=4y which are nearest to th...

    Text Solution

    |

  13. The shortest distance between line y-x=1 and curve x=y^2 is

    Text Solution

    |

  14. A right circular cone have slant height 3 cm. Then its volume is maxim...

    Text Solution

    |

  15. The height of the cone of maximum volume inscribed in a sphere of radi...

    Text Solution

    |

  16. An open cylindrical tank whose base is a circle is to be constructed o...

    Text Solution

    |

  17. Find the maximum volume of right circular cylinder, if the sum of its...

    Text Solution

    |

  18. If h is the height and r is the base radius of an open right circular ...

    Text Solution

    |

  19. The point on the curve y= sqrt(x-1) where the tangent is perpen...

    Text Solution

    |

  20. The normal to the curve y(x-2)(x-3)=x+6 at the point where the curve i...

    Text Solution

    |