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

the rod sweeps the figure whose volume is $\pi$  cubic units.

the area of the region which the rod traces on the plane is  $2\pi$.

the length of projection of the rod on the plane is $\sqrt{3}$ units.

the centre of the region which the rod traces on the plane is $(\frac{2}{3},\frac{2}{3},\frac{-5}{3})$ .