Let 𝑎, 𝑏 and $$\lambda$$ be positive real numbers. Suppose 𝑃 is an end point of the latus rectum of the parabola $$y^{2} = 4\lambda x$$, and suppose the ellipse $$\frac{x^{2}}{a^{2}} +\frac{y^{2}} {b^{2}} = 1$$ passes through the point 𝑃. If the tangents to the parabola and the ellipse at the point 𝑃 are perpendicular to each other, then the eccentricity of the ellipse is

A

$$\frac{1}{\sqrt{2}}$$

B

$$\frac{1}{2}$$

C

$$\frac{1}{3}$$

D

$$\frac{2}{5}$$