Prove that the equations of the st.lines `x+y-1=0` and `x-y-1=0` can be written as `x+y=0` and `x-y=0` by shifiting the origin to a suitable point.

Find the joint equation of the lines x+y-3 =0 and 2x+y-1 =0

The joint equation of the lines 3x+2y-1=0 and x+3y-2=0 is

The joint equation of the lines x+2y-1=0 and 2x-3y+2=0 is

The joint equation of the line x-y=0 and x+y=0 is

The equation of the line x+y+z-1=0 and 4x+y-2z+2=0 written in the symmetrical form is

The equation of the line x+y+z-1=04x+y-2z+2=0 written in the symmetrical form is

Let the equation of the pair of lines, y = px and y = qx, can be written as (y – px) (y – qx) = 0. Then the equation of the pair of the angle bisectors of the lines x^2 – 4xy – 5y^2 = 0 is:

Which of the st.lines 2x-y+3=0 and x-4y-7=0 is farther from the origin ?

Which of the st.lines 2x-y+3=0 and x-4y-7=0 is farther from the origin ?