Home
Class 12
MATHS
One corner of a long rectangular sheet o...

One corner of a long rectangular sheet of paper of width 1 unit is folded over so as to reach the opposite edge of the sheet. Find the minimum length of the crease.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|7 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|4 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

The lower corner of a leaf in a book is folded over so as to reach the inner edge of the page. Show that the fraction of the width folded over when the area of the folded part is minimum is:

One side of a rectangular piece of paper is 6 cm, the adjacent sides being longer than 6 cms. One corner of the paper is folded so that it sets on the opposite longer side. If the length of the crease is l cms and it makes an angle theta with the long side as shown, then l is

A rectangular sheet of paper 44 cm xx 18 cm is rolled along its length and a cycllinder is formed. Find the radius and the volume of the cyclinder formed.

A rectangular sheet of paper, 44 c m\ x\ 20 c m , is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

A rectangular sheet of paper, 44 c m\ x\ 20 c m , is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

A rectangular sheet of paper, 44 c m\ X\ 20 c m , is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.

A rectangular sheet of paper, 44 c m\ x\ 20 c m , is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

A rectangular sheet of paper, 44 c m\ x\ 20 c m , is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

The ratio of length to width of a rectangular sheet of paper is 5:3 If the width of the sheet is 18 cm, find its length.

A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide. Find its perimeter.

ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-EXAMPLE
  1. A solid cylinder of height H has a conical portion of same height and ...

    Text Solution

    |

  2. Statement 1: f(x)=x+cosx is increasing AAx in Rdot Statement 2: If f...

    Text Solution

    |

  3. Consider a DeltaOAB formed by the point O(0,0),A(2,0),B(1,sqrt(3)).P(x...

    Text Solution

    |

  4. Let f(x)=ax^(2)+bx+c,ab,c in R. It is given |f(x)|le1,|x|le1 The po...

    Text Solution

    |

  5. Let f(x)=ax^(2)+bx+c,ab,c in R. It is given |f(x)|le1,|x|le1 The po...

    Text Solution

    |

  6. The absolute maximum and minimum values of functions can be found by t...

    Text Solution

    |

  7. The absolute maximum and minimum values of functions can be found by t...

    Text Solution

    |

  8. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

    Text Solution

    |

  9. The graph of derivative of a function f(x) is given (i.e. y=f'(x)). An...

    Text Solution

    |

  10. If a function (continuos and twice differentiable) is always concave u...

    Text Solution

    |

  11. If f(x)={(1)/(x)}andg(x)={x^(2)}, then the number of positive roots sa...

    Text Solution

    |

  12. Match the Statements of Column I with values of Column II.

    Text Solution

    |

  13. Match the Statements of Column I with values of Column II.

    Text Solution

    |

  14. The set of all points where f(x) is increasing is (a,b)cup(c,oo). Find...

    Text Solution

    |

  15. Let f(x) be a cubic polynomial defined by f(x)=x^(3)/(3)+(a-3)x^(2)+...

    Text Solution

    |

  16. If f(x)=max| 2 siny-x|, (where y in R), then find the minimum value o...

    Text Solution

    |

  17. Let f(x)=sin^(-1)((2phi(x))/(1+phi^(2)(x))). Find the interval in whic...

    Text Solution

    |

  18. Find the minimum value of f(x)=|x+2|+|x-2|+|x|.

    Text Solution

    |

  19. The interval to which b may belong so that the functions. f(x)=(1-sq...

    Text Solution

    |

  20. One corner of a long rectangular sheet of paper of width 1 unit is fol...

    Text Solution

    |