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 .

Two sides of a parallelogram are along the lines x+y=3 and x=y+3. If its diagonals intersect at (2, 4) , then one of its vertices is

The two adjacent sides of parallelogram are y = 0 and y=sqrt3(x-1) . If equation of one diagonal is sqrt3y=(x+1) , then equation of other diagonal is

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

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

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

Two sides of a Rhombus ABCD are parallel to the lines x-y=5 and 7x-y=3 . The diagonals intersect at (2,1) then the equations of the diagonals are

Two adjacent sides of a parallelogram are 4x+5y=0 ,and 7x+2y=0 . If the equation of one diagonal is 11x+7y=9 Area of the parallelogram is

The equation of one diagonal of a square is 2x+y=6 and its one vertex is (4,3) . Find the equation of other diagonal.

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of parallel lines, then