If for a > 0, the feet of perpendiculars from the points A(a, –2a, 3) and B(0, 4, 5) on the plane lx +my + nz = 0 are points C(0, –a, –1) and D respectively, then the length of line segment CD is equal to :
(1) \(\sqrt{31}\)
(2) \(\sqrt{41}\)
(3) \(\sqrt{55}\)
(4) \(\sqrt{66}\)
