Geo2.43
From Exampleproblems
Show that the four lines 
form a rhombus whose area is 
.
Given lines are 
.Let these lines be 1,2,3,4.
Solving 1 with 3 and 4,we get the vertices 
Solving 2 with 3 and 4, we get 
Therefore Diagonal 
.Clearly AC lies along x-axis and BD lies along y-axis.They are perpendicular and hence rhombus.
![Area=\frac{1}{2}|(AC)(BD)|=\frac{1}{2}|[\frac{2c}{a}][\frac{2c}{b}|=\frac{2c^2}{|ab|}\,](/wiki/images/math/b/2/8/b28ab06a3660fad591178b63068491e2.png)
