The equation of a line in xz plane equally inclined with x and z axis which is at a unit distance from the line (x-1)/(1)=(y-1)/(1)=(z)/(1) is

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

Equation of a plane passing through the lines 2x-y+z=3 and 3x+y+z=5 and which is at a distance of (1)/(sqrt(6)) from the point(2, 1, -1) is

The equation of the line passing through (-4,3,1), parallel to the plane x+2y-z-5=0 and intersecting the line (x+1)/(-3)=(y-3)/(2)=(z-2)/(-1)

Reflection of the line (x-1)/(-1)=(y-2)/(3)=(z-3)/(1) in the plane x+y+z=7 is

The equation of the line through (3,1,2) and equally inclined to the axes is (x-3)/(1)=(y-1)/(1)=(z-2)/(1) (x-3)/(0)=(y-1)/(1)=(z-2)/(0) (x-3)/(0)=(y-1)/(0)=(z-2)/(1)

Find the equation of the plane passing through (3,2,4) and which is perpendicular to the plane x+2y+3z=5 and parallel to the line (x-1)/(2)=(y+1)/(3)=(z-4)/(1)

Find the equation of the projection of the line (x-1)/(2)=(y+1)/(-1)=(z-3)/(4) on the plane x+2y+z=9