Home
Class 10
MATHS
A piece of wire 8m in length is cut into...

A piece of wire 8m in length is cut into two pieces and each piece is bent into a squares. Where should the cut in the wire be made if the sum of the areas of these squares is to be 2 `m^(2)`?

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    BEYOND PUBLICATION|Exercise EXAMPLE|135 Videos
  • PROGRESSIONS

    BEYOND PUBLICATION|Exercise EXERCISE|259 Videos
  • QUESTION PAPER

    BEYOND PUBLICATION|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

A wire of length 20cm is cut into two parts which are bent in the form of a square and a circle, then the least value of the sum of areas so formed is

A wire of length 'a' is cut into two parts which are bent in the form a square and a circle. Show that the least value of the sum of the areas so formed is (a^2)/(4(pi+4)) .

A wire of length 'a' is cut into two parts which are bent in the form a square and a circle. Show that the least value of the sum of the areas so formed is (a^(2))/(4(pi + 4)) .

A piece of rod 3 meters long is broken into two pieces one piece is 1"" 2/7 meters. How long is the other piece?

A wire of length l is cut into two parts which are bent respectively in the form of a square and a circle. What are the lengths of pieces of wire so that the sum of areas is least ?

A wire given 'l' is cut into two portions which are bent into the shapes of a circle and a square respectively . If the sum of the areas of the circle and square will be least when side of square is lambda then 8lambda =

BEYOND PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
  1. Some points are plotted on a plane. Each point is joined with all rema...

    Text Solution

    |

  2. A two digit number is such that the product of its digits, is 8. When ...

    Text Solution

    |

  3. A piece of wire 8m in length is cut into two pieces and each piece is ...

    Text Solution

    |

  4. Vinay and Praveen working together can paint the exterior of a house i...

    Text Solution

    |

  5. Show that the sum of roots of a quadratic equation ax^(2) + bx + c = 0...

    Text Solution

    |

  6. Show that the product of the roots of a quadratic equation ax^(2)+bx+c...

    Text Solution

    |

  7. The denominator of a fraction is one more than twice the numerator. If...

    Text Solution

    |

  8. Check whether the following are quadratic equations or not. (x+2)^2=...

    Text Solution

    |

  9. Check whether the following are quadratic equations or not. x^2-3x=...

    Text Solution

    |

  10. Check whether the following are quadratic equations or not. (x-1)(x+...

    Text Solution

    |

  11. Check whether the following are quadratic equations or not. (x-3)^2...

    Text Solution

    |

  12. Check whether the following are quadratic equations or not. (x+1)^3...

    Text Solution

    |

  13. Represent the folloiwng situations in the form of quadratic equations....

    Text Solution

    |

  14. Represent the folloiwng situations in the form of quadratic equations....

    Text Solution

    |

  15. Represent the folloiwng situations in the form of quadratic equations....

    Text Solution

    |

  16. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  17. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  18. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  19. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |

  20. Find the roots of the following quadratic equations by factorisation ...

    Text Solution

    |