Rhombus and squares are ........................ to each other.

A rhombus is a quadrilateral with . . . . . . . . Of equal length.

Show that the diagonals of a square are equal and right bisectors of each other.

Statement-l: If the diagonals of the quadrilateral formed by the lines px+ gy+ r= 0, p'x +gy +r'= 0, p'x +q'y +r'= 0 , are at right angles, then p^2 +q^2= p'^2+q'^2 . Statement-2: Diagonals of a rhombus are bisected and perpendicular to each other.

In the adjoing figure, squareABCD is a square. DeltaBCE on side BC and DeltaACF on the diagonal AC are similar to each other. Then, show that A(DeltaBCE)=(1)/(2)A(DeltaACF)

vceAandvecB are two vectors, if vecAandvecB are perpendicular to each other

The diagonals of a parallelogram are inclined to each other at an angle of 45^@ , while its sides a and b (a>0) are inclined to each other at an angle of 30^@ , then the value of a/b is

Find the number of ways in which we can choose 3 squares on a chess board such that one of the squares has its two sides common to other two squares.