Find the equations of straight lines parallel to 3x + 4y +1 = 0 and at a distance of 2 units from the points (-1,2).

The equation n s of the lines parallel to 5x-12 y+26=0 and at a distance of 4 units from it are:

Find the equation of the straight line parallel to Y - axis and at a distance (i) 3 units to the right (ii) 2 units to the left

Find the equations of lines parallel to 3x-4y-5=0 at a unit distance from it.

Find the equation of the planes parallel to the plane x-2y+2z-3=0 and which is at a unit distance from the point A(1,1,1) .

Find the equations of the planes parallel to the plane x-2y+2z-3=0 which is at a unit distance from the point (1,2,3) .

Find the equation of the line parallel to the line 3x- 4y + 2 = 0 and passing through the point (- 2, 5).

Find equation of the line through the point (0, 2) making an angle (2pi)/3 with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin.

Find the general equation of the line which is parallel to 3x-4y+5 = 0 . And such that line passes through the point (-1,2)

Find the equation of the plane containing the lines 2x-y+z-3=0, 3x+y+z=5 and at a distance of 1/sqrt6 from the point (2,1,-1) .