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 :

Question

( A ) it passes through the origin
( B ) it is at a constant distance from the origin
( C ) it makes angle $\pi/4 + \theta$ with the x-axis
( D ) it passes through $(a \pi /2, -a)$