JEE Math Practice Question

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

1. A.it passes through the origin
2. B.it makes an angle $${\pi \over 2} + \theta $$ with the $$x$$-axis
3. C.it passes through $$\left( {a{\pi \over 2}, - a} \right)$$
4. D.it is at a constant distance from the origin