Let the line y = mx and the ellipse 2x² + y² = 1 intersect at a point P in the first quadrant. If the normal to this ellipse at P meets the co-ordinate axes at (-1/3√2, 0) and (0, β), then β is equal to
(1) 2/√3
(2) 2√2/3
(3) 2/3
(4) √2/3