Problem

Problem

The equation of normal at any point θ\theta to the curve x=acos⁡θ+aθsin⁡θ,y=asin⁡θ−aθcos⁡θx = a \cos \theta + a \theta \sin \theta, y = a \sin \theta - a \theta \cos \theta is always at a distance of a. 2a unit from origin b. 3 unit from origin c. 12\frac{1}{2} unit from origin d. None of these

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