Two sides of a Rhombus ABCD are parallel to the lines and The diagonals intersect at then the equations of the diagonals are
If you find the equation of the sides of the rhombus then the problem becomes very easy and clear. We already know the basic properties of rhombus. From these properties we can find the angle between the diagonal and the sides. Then if we know the slope of any line and then we will get the sloope of the other line. That's how easily we can get the equation of diagonals of the Rhombus.