Home
Class 12
MATHS
A wire of length l is cut into two parts...

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 ?

Promotional Banner

Topper's Solved these Questions

  • SOLVED MODEL PAPER -7

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos

  • SOLVED MODEL PAPER-2

    SRISIRI PUBLICATION|Exercise SOLVED MODEL PAPER-2(MATHS-1B)|24 Videos

Similar Questions

Explore conceptually related problems

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 the pieces of the wire respectively so that the sum of the areas is the least.

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 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 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) ?

SRISIRI PUBLICATION-SOLVED MODEL PAPER-1-SOLVED MODEL PAPER-1(MATHS-1B)
  1. Find the angle between the planes 2x-y+z=6 and x+y+2z=7

    Text Solution

    |

  2. Show that Lt(x to0+)((2|x|)/x+x+1)=3.

    Text Solution

    |

  3. Evaluate Lt(x to0)((e^(3+x)-e^3)/x)

    Text Solution

    |

  4. If f(x) = a^x.e^(x^2) then find f'(x)

    Text Solution

    |

  5. Find the derivative of log(sin(logx))

    Text Solution

    |

  6. Find the approximate value of root3(65)

    Text Solution

    |

  7. Verify Rolle's theorem for the function y=f(x)=x^2+4on [-3,3]

    Text Solution

    |

  8. A(2,3) and B(-3,4) be two given points. Find the equation of the locus...

    Text Solution

    |

  9. When the axes are rotated through an angle pi//6. Find the transformed...

    Text Solution

    |

  10. Find the points on the line 3x-4y-1=0 which are at a distance of 5 uni...

    Text Solution

    |

  11. Show that f(x)={{:((cosax-cosbx)/(x^(2))," if " xne0),((1)/(2)(b^(2)...

    Text Solution

    |

  12. Find the derivative of sin2x from the first principles .

    Text Solution

    |

  13. A particle is moving in a straight line so that after 't' seconds its ...

    Text Solution

    |

  14. S.T the tangent at any point theta on the curve x=c sectheta, y=c tan ...

    Text Solution

    |

  15. Find the equation of the straight lines passing through the point (1,2...

    Text Solution

    |

  16. Find the value if k , if the lines joining the origin with the points ...

    Text Solution

    |

  17. If a line makes angles alpha, beta, lambda,delta with the four diagon...

    Text Solution

    |

  18. If x=(3at)/(1+t^(3)),y=(3at^(2))/(1+t^(3)) then find dy/dx.

    Text Solution

    |

  19. At any point t on the curve x=a(t+sint),y=a(1-cost) find the lengths o...

    Text Solution

    |

  20. A wire of length l is cut into two parts which are bent respectively i...

    Text Solution

    |