The perpendicular distance from origin to the normal at any point to the curve

MATHEMATICS · Single correct · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

The perpendicular distance from origin to the normal at any point to the curve x=a(cos⁡θ+θsin⁡θ)x = a(\cos\theta + \theta\sin\theta), y=a(sin⁡θ−θcos⁡θ)y = a(\sin\theta - \theta\cos\theta) is (a) aa (b) a/2a/2 (c) a/3a/3 (d) 2a2a

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