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.

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 :

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 .

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).

The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-20\ a n d\ the orthocentre is (1,1). Find the equation of the third side.

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.

Find the equation of the line Perpendicular to the line x -7y +5 = 0 and having x-intercept 4.

A person standing at the junction (crossing) of two straight paths represented by the equations : 2x -3y -4 =0 and 3x + 4y -5 = 0, wants to reach the path whose equation is 6x - 7y + 8 = 0 in the least time. Find the equation of the path that he should follow.

A person standing at the junction (crossing) of two straight paths represented by the equations 2x -3y + 4 = 0 and 3x + 4y -5 = 0 wants to reach the path whose equation is 6x -7y + 8 = 0 in the least time. Find equation of the path that he should follow.

Find equation of the line perpendicular to the line x - 7y + 5 = 0 and having x intercept 3.

Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If its diagonals intersect at (-1, -2), then which one of the following is a vertex of this rhombus?