Home
Class 12
MATHS
A rod of 108m long bent to form a rectan...

A rod of 108m long bent to form a rectangle. Find it’s dimensions when it’s area is maximum.

Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PART-1 (APPLICATIONS OF DERIVATIVE) (Activity (4 Marks))|4 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PART-1 INTEGRATION CHOOSE THE CORRECT ANSWER |10 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PART-1 (APPLICATIONS OF DERIVATIVE) (State whether each of the following is True or False) |6 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

A metal wire of 36cm long is bent to form a rectangle.Find its dimensions when its area is maximum.

A rod of 108 meters long is bent to from a rectangle . Find its dimensions if the area is maximum .

A wire of length 120cm is bent in the form of a rectangle. Find its dimensions if the area of the rectangle is maximum

A wire of length 36meters is bent in the form of a rectangle. Find its dimensions if the area of the rectangle is maximum

A wire of length 16cm is bent to form a rectangle.Find the dimensions of the rectangle so that it has the maximum area

The perimeter of a rectangle is 40 cm. Find the dimensions of the rectangle if its area is maximum.

A rod of 108 cm long is bent into a rectangle. When area of rectangle is maximum its dimension are

if the length of a rectangle is 5 m and its breadth is 4m, then its area is _____

A rectangle is inscribed in a semi-circle of radius r with one of its sides on diameter of semi-circle.Find the dimensions of the rectangle so that its area is maximum.Find also the area.

A piece of wire of length 4L is bent at random, to form a rectangle.The probaility that its area is at most (L^(2))/(4) is:

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-PART-1 (APPLICATIONS OF DERIVATIVE) (Solve the following 3 Marks)
  1. Find the equation of tangent and normal to the curve y =3x^(2) -x +1 ...

    Text Solution

    |

  2. Find the values of x , such that f(x) = 2x^(3) - 15x^(2) + 36x +1 is ...

    Text Solution

    |

  3. Find the values of x such that f(x) = (x-2)/(x+1), x ne -1 is decreas...

    Text Solution

    |

  4. Show that the function f(x) = (x-2)/(x+1), x ne -1 is increasing.

    Text Solution

    |

  5. Divide the number 20 into two parts such that their product is maximum...

    Text Solution

    |

  6. If the demand function is D=50 - 3p -p^(2) . Find the elasticity of d...

    Text Solution

    |

  7. If the demand function is D=(p+6)/(p-3) Find the elasticity of demand ...

    Text Solution

    |

  8. The total cost of manufacturing x articles C = 47x + 300x^(2) -x^(4). ...

    Text Solution

    |

  9. Determine the maximum and minimum values of the function f(x) = 2x^(3)...

    Text Solution

    |

  10. A rod of 108m long bent to form a rectangle. Find it’s dimensions when...

    Text Solution

    |

  11. Find MPC, MPS, APC and APS , if the expenditure Ec of a person with in...

    Text Solution

    |

  12. The manufacturing company produces x items at the total cost of Rs 180...

    Text Solution

    |

  13. If x+y=3 then show that the maximum value of x^(2) y is 4.

    Text Solution

    |

  14. Find the equation of tangent to the curve x^(2) + y^(2) =8, where the ...

    Text Solution

    |

  15. Find the equation of normal to the curve y=sqrt(x-3) which is perpend...

    Text Solution

    |

  16. Find the equation of tangent to the curve ?y=x^(2) + 4x at the point w...

    Text Solution

    |