A rod of length 2 units whose one ends is `(1, 0, -1)` and other end touches the plane `x-2y+ 2z+4=0`, then which statement is false

A rod of length 2units whose one end is (1, 0, -1) and other end touches the plane x-2y+2z+4=0 , then

A line is of length 10 units and one of its ends is (-2, 3) . If the ordinate of the other end is 9, prove that the abscissa of the other end is 6 or -10

A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line x+y=0 which lies in the second quadrant. Then the locus of the midpoint of the line has equation. (a) x^2+5y^2+4x y-1=0 (b) x^2+5y^2+4x y+1=0 (c) x^2+5y^2-4x y-1=0 (d) 4x^2+5y^2+4x y+1=0

The equation of the plane which passes through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x- 2y + 4z = 0 is

Find the angle between the planes 3x+y+2z=1 and 2x-y+z+3 = 0 .

A rod AB of length 4 units moves horizontally with its left end A always on the circle x^(2)+y^(2)-4x-18y-29=0 then the locus of the other end B is

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the length and the foot of perpendicular from the point (1,3//2,2) to the plane 2x-2y+4z+5=0.

Find the length and the foot of perpendicular from the point (1,3//2,2) to the plane 2x-2y+4z+5=0.