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 `2//3.`

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.

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.

One corner of a long rectangular sheet of paper of whdth 1 units is folder over so as to reach the opposite edge of the sheet . The minimum length of the crease is

If a leaf of a book is folded so that one corner moves along an opposite side, then prove that the line of crease will always touch parabola.

If a leaf of a book is folded so that one corner moves along an opposite side, then prove that the line of crease will always touch parabola.

If a leaf of a book is folded so that one corner moves along an opposite side, then prove that the line of crease will always touch parabola.

If a leaf of a book is folded so that one corner moves along an opposite side,then prove that the line of crease will always touch parabola.

A note book is made up of sheets folded in the middle and stapled. Each sheet form two leaves i.e., four pages. On removing some papers of the first half and second half of the book, Joe found the number of the leaves, in the first case as odd and in the second case as even. If the sum of the numbers of the pages on the last leaf of the book is 63, then what could be the maximum possible sum of the numbers on the pages of leaves that were left in the book.