Let A be the point (1, 2) and B be any point on the curve x2 + y2 . If the centre of the locus of the point P, which divides the line segment AB in the ratio 3 : 2 is the point C (α, β), then the length of the line segment AC is
(1) 6√5/5
(2) 4√5/5
(3) 2√5/5
(4) 3√5/5
