If the lines `ax^2+2hxy+by^2=0` be two sides of a parallelogram and the line lx+my=1 be one of its diagonal, show that the equation of the other diagonal is y (bl-hm)=x(am-hl).

If the lines represented by 2x^2-5xy+2y^2=0 be the sides of a parallelogram and the line 5x+2y=1 be one of its diagonal. Find the equation of the other diagonal, and area of the parallelogram .

The point (-4,5) is the vertex of a square and one of its diagonals is 7x-y+8=0. The equation of the other diagonal is :

The consecutive sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals is 11 x + 7y = 9, find the equation of the other diagonal.

Two sides of a square lie on the lines x+y-1=0 and x+y+2 then its area is:

If the pair of lines ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0 intersect on the y-axis then

One side of a rectangle lies along the line 4x + 7y +5=0. Two of its vertices are (-3, 1) and (1, 1).Find the equations of the other three sides.

The experimities of the diagonal of a square are (1,1) , (-2,-1) .Obtain the other two vertices and the equation of the other diagonal .

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is

The sides of a parallelogram are 2hati +4hatj -5hatk and hati + 2hatj +3hatk . The unit vector parallel to one of the diagonals is