Let `L_1` be the projection and `L_2` be the image of the Z-axis in the plane `3x-4y+z+1=0` then find the distance of the point `(4,3,5)` from the plane containing the lines `L_1` and `L_2`

If L_1 is the line of intersection of the planes 2x-2y+3z-2=0 x-y+z+1=0 and L_2 is the line of the intersection of the planes x+2y-z-3=0 3x-y+2z-1=0 then the distance of the origin from the plane containing the lines L_1 and L_2 is

If L_1 is the line of intersection of the planes 2x-2y+3z-2=0 x-y+z+1=0 and L_2 is the line of the intersection of the planes x+2y-z-3=0 and 3x-y+2z-1=0 then the distance of the origin from the plane containing the lines L_1 and L_2 is

If L_(1) is the line of intersection of the planes 2x-2y+3x-2=0x-y+z+1=0 and L_(2) is the line of the intersection of the planes x+2y-z-3=0 3x - y+2z-1=0 then the distance of the origin from the plane containing the lines L_(1) and L_(2) is

Consider the line L : (x-1)/(2) = (y)/(1) = (z+1)/(-2) and a point A (1,1,1). Let P be the foot of the perpendicular from A on L and Q be the image of the point A in the line L, 'O' being the origin. The distance of the origin from the plane passing through the point A and containing the line L is

Consider the line L:(x-1)/2=y/1=(z+1)/(-2) and a point A(1, 1, 1). Let P be the foot of the perpendicular from A on L and Q be the image of the point A in the line L, O being the origin. The distance of the origin from the plane passing through the point A and containing the line L, is (a) 1/3 (b) 1/(sqrt(3)) (c) 2/3 (d) 1/2

If the image of the point (1,2,3) in the plane x+2y=0 is (h,k,l) then l=

Consider the line L : (x-1)/(2) = (y)/(1) = (z+1)/(-2) and a point A (1,1,1). Let P be the foot of the perpendicular from A on L and Q be the image of the point A in the line L, 'O' being the origin. The distance of the point A from the line L is

Find the image of the point p wrt the plane L where P-=(1,2,3) and L=2x+2y+4z=38

Let L be the line through the intersection of the planes 3x-y+2z+1=0 and 3x-2y+z=3 . Then, the equation of the plane passing through (2, 1, 4) and perpendiculr to the line L is