Question

Find the equations of the diagonals of the parallelogram formed by the lines ax + by = 0,
ax + by + c =0, Ix + my = 0 and lx + my +n=0. What is the condition that this will be
a rhombus?​

Answer 1

Answer:

am=/ bl

Step-by-step explanation:

The given equations are ax+by=c

or ax+by−c=0  and

lx+my=n

or lx+my−n=0.

The equations have a unique solution.

So, a2a1=b2b1

Here  a1=a,a2=l,b1=b,b2=m,c1=−c,c2=−n 

∴a2a1=la,b2b1=mb. 

∴la=mb