The normal to the curve $$x = a(\cos\theta + \theta \sin\theta), y = a(\sin\theta - \theta \cos\theta)$$ at any point '$$\theta$$' is such that

A

it passes through the origin

B

it makes angle $$\frac{\pi}{2} + \theta$$ with the $$x$$-axis

C

it passes through $$\left(a\frac{\pi}{2}, -a\right)$$

D

it is at a constant distance from the origin