Prove that the line `12x-5y-3=0` is mid-parallel to the lines `12x-5y+7=0 and 12x-5y-13=0`.

Prove that the line 5x-2y-1=0 is mid-parallel ot the lines 5x-2y-9=0a n d 5x-2y+7=0.

Prove that the lines 2x+5y=8 and 4x+10y-1=0 are parallel.

Find the value of k such that the line (k-2)x+(k+3)y-5=0 is parallel to the line 2x-y+7=0

Equation of line mid-parallel to the lines 3x+4y=12 and 3x+4y=2 is

Show that the point (3,-5) lies between the parallel lines 2x+3y-7=0\ a n d\ 2x+3y+12=0 and find the equation of lines through (3,-5) cutting the above lines at an angle of 45^0 .

Find the equation of the bisector of the acute angle between the lines 3x-4y+7=0 and 12x+5y-2=0 .

Find the equations of the lines bisecting the angles between the lines 4x-3y+12=0 and 12x+5y=20 .

The distance between the lines 5x+12y+65=0 and 5x+12y-39 = 0 is :

Find the equation of the bisector of the obtuse angle between the lines 3x-4y+7=0 and 12 x+5y-2=0.

Find the equation of the bisector of the obtuse angle between the lines 3x-4y+7=0 and 12 x+5y-2=0.