Correct option (A)(C)(D)
The rod sweeps out the figure which is a cone. The distance of point (A(1, 0, - 1) from the plane is 1 + 1 -2 + 4/√ 9 = 1 unit.
The slant height l of the cone is 2 units. Then the radius of the base of the cone is
Hence, the volume of the cone is
π/3(√3)2.1 = π cubic units.
Area of the circle on the plane which the rod traces is 3π.
Also, the centre of the circle is Q(x, y, z). Then