Prove that the lines `2x+3y=19 and 2x+3y+7=0` are equidistant from the line `2x+3y=6`.

Prove that the lines x+3y+2=0 and 3x-y=0 are perpendicular.

Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

Two straight lines x-3y-2=0 and 2x-6y-6=0

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 ?

Find the equation of the line passing through the intersection of the lines 2x+y=5 and x+3y+8=0 and parallel to the line 3x+4y=7.

Show that the lines 2x+3y+11=0 and 2x-2y-1=0 are conjugate with respect to the circle x^(2)+y^(2)+4x+6y-12=0