The normal to the curve represented parametrically by \( x=a(\cos \theta+\theta \sin \theta) \) ...

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The normal to the curve represented parametrically by \( x=a(\cos \theta+\theta \sin \theta) \) and \( y=a(\sin \theta-\theta \cos \theta) \) at any point \( \theta \)
(A) makes a constant angle with \( x-a x i s \)
(B) is at a constant distance from the origin
(C) passes through the origin
(D) satisfies all the three conditions
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