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.

Find the number of squares in chess board.

Find the number of ways in which two small squares can be selected on the normal chessboard if they are not in same row or same column.

Find the number of quadratic equations, which are unchanged by squaring their roots.

If one side of the square is 2x-y+6=0, then one of the vertices is (2,1) . Find the other sides of the square.

Prove that the sum of the areas of the squares drawn on the sides of a rhombus is equal to the sum of the areas of two squares drawn on the diagonals of the given square.

Two squares of 1xx1 are chosen at random on a chestboard. What is the probability that they have a side in common ?

A perpendicular AD is drawn on BC from the vertex A of the acute Delta ABC . Prove that AC^(2) = AB^(2) +BC^(2) -2BC.BD OR Prove that the square drawn on the opposite side of theacute angle of an acute triangle is equal to the areas of the sum of the squares drawn on its other two sides being subtracted by twice the area of the rectangle formed by one of its sides and the projection of the other side to this side.

Sum of the areas of two squares is 468 m^(2) . If the difference of their perimeters is 24 m, find the sides of the two squares.

Answer any one : If in a triangle, the area of the square drawn on one side is equal to the sum of the areas of the squares drawn on other two sides, then prove that the angle opposite to the first side will be a right angle.

The center of a square is at the origin and its one vertex is A(2,1)dot Find the coordinates of the other vertices of the square.