Home
Class 12
MATHS
A wire of length 36m is to be cut into t...

A wire of length 36m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the lengths of the two pieces, so that the combined area of the square and the circle is minimum?

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

Similar Questions

Explore conceptually related problems

A wire of length 28m is to be cut into two pieces.One of the pieces is to be made into a square and the other into a circle.What should be the length of the two pieces so that the combined area of the square and the circle is minimum?

A wire of length 25m is to be cut into two pieces. One of the wires is to be made into a square and the other into a circle. What should be the lengths of the two pieces so that the combined area of the square and the circle is minimum ?

A wire of length 28m is to be cut into two pieces.One of the pieces is to be made into a square and the other into a circle.What should be the lengths of the two pieces so that the combined area of the circle and the square is minimum?

A wire of length 20m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular hexagon. Then the length of the side ( in meters) of the hexagon, so that the combined area of the square and the hexagon is minimum is

A wire of length 20m is to be cut into two pieces.One of the places will be bent into shape of a square and the other shape of an equilateral triangle.Where the wire should be cut so that the sum of the areas of the square and triangle is minimum?

A wire of length 36cm is cut into the two pieces,one of the pieces is turned in the form of a square and other in form of an equilateral triangle.Find the length of each piece so that the sum of the areas of the two be minimum

A 12 m long wire is cut into two pieces, one of which is bent into a circle and the other into a square enclosing the circle. What is the radius of the circle ?

A wire of length l is cut into two parts. One part is bent into a circle and the other into a square. Prove that the sum of the areas of the circle and the square is the least, if the radius of the circle is half of the side of the square.

A wire of length 12 1/2m is cut into 10 pieces of equal length. Find the length of each piece.

A piece of cloth which is 10 m in length is cut into two pieces such that the length of the one piece is equal to one-fourth the length of the other. Find the lengths of the two pieces.

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. In a shop X, 30 tins of pure ghee and 40 tins of adulterated ghee whic...

    Text Solution

    |

  2. Let A=R-{3},B=R-{1}, and let f: AvecB be defined by f(x)=(x-2)/(x-3) i...

    Text Solution

    |

  3. A wire of length 36m is to be cut into two pieces. One of the piece...

    Text Solution

    |

  4. Using the method of integration, find the area of the triangle ABC, c...

    Text Solution

    |

  5. Find the equation of the plane through the line of intersection of ...

    Text Solution

    |

  6. If e^y(x+1)=1 , show that (d^2y)/(dx^2)=((dy)/(dx))^2 .

    Text Solution

    |

  7. Let A=[[2,-1],[3,4]],B=[[5,4],[7,4]],C=[[2,5],[3,8]]. Find a matrix D ...

    Text Solution

    |

  8. If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.

    Text Solution

    |

  9. Find the area enclosed between the parabola 4y=3x^2 and the straight l...

    Text Solution

    |

  10. A variable plane which remains at a constant distance 3p from the orig...

    Text Solution

    |

  11. Evaluate : int0^(3/2)|xsin pi x| dx

    Text Solution

    |

  12. Determine the value of ‘k’ for which the following function is continu...

    Text Solution

    |

  13. Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + ...

    Text Solution

    |

  14. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

    Text Solution

    |

  15. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

    Text Solution

    |

  16. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

    Text Solution

    |

  17. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

    Text Solution

    |

  18. Find the vector equation of line passing through the point (1,2,-4)...

    Text Solution

    |

  19. If |A| = 3 and A^-1 = [(3 -1), (-5/3 2/3)] then write the adj A.

    Text Solution

    |

  20. For what value of k is the function f(x) = { k|x|/x, x<0; 3, x>=0 con...

    Text Solution

    |