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 =

A spring of force constant 'K' is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

BEYOND PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
  1. Find the roots of 6x^2-x-2=0.

    Text Solution

    |

  2. The roots of (7x-1)(2x+3)=0.

    Text Solution

    |

  3. If the sum of squares of two consecutive positive even numbers is 100 ...

    Text Solution

    |

  4. The discriminant of 5x^(2) - 3x - 2 = 0 is…

    Text Solution

    |

  5. The nature of the roots of a quadratic equation 4x^(2) - 12x + 9 = 0 i...

    Text Solution

    |

  6. The roots of the Q.E. (x -1/3)^(2) = 9

    Text Solution

    |

  7. The roots of the quadratic equation (x^(2) - 8)/(x^(2) + 20) = 1/2 are...

    Text Solution

    |

  8. The roots of 2x^(2) - x + 1/8 = 0 are…

    Text Solution

    |

  9. If y(y+y) = 12 then y=?

    Text Solution

    |

  10. Find the equations with roots 9 and 1.

    Text Solution

    |

  11. If alpha,beta are the roots of x^2-yx+3=0 the find the value of alpha^...

    Text Solution

    |

  12. If 1/(x-2)+2/(x-1)=6/x then find the value of x.

    Text Solution

    |

  13. In right angle triangle triangle ABC AB = 4, AC= 5 then find the val...

    Text Solution

    |

  14. If x^2-4x+3=1 then find the value of x.

    Text Solution

    |

  15. The sum of a number and its recip- rocal is 5/2 then the number is

    Text Solution

    |

  16. The roots of a quadratic equation (sqrt 2 x + 3) (5x - sqrt 3) = 0are…...

    Text Solution

    |

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

    Text Solution

    |

  18. For what positive value of x the 9x^2-81=0.

    Text Solution

    |

  19. If alpha,beta are the roots of 32x^2+3x-7=0 then find the value of (al...

    Text Solution

    |

  20. Form a quadratic equation from x^(3) - 4x^(2) - x + 1 = (x - 2)^(3) =

    Text Solution

    |