The normal to the curve given by \( x=a(\cos \theta+\theta \sin \th...

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The normal to the curve given by \( x=a(\cos \theta+\theta \sin \theta), y=a(\sin \theta-\theta \cos \theta) \) at any point \( \theta \) is such that it
(a) makes a constant angle with \( x \)-axis
(b) is at a constant distance from the origin
(c) touches a fixed circle
(d) passes through the origin
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