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The normal of the curve x = a(cosθ + θsinθ), y = a(sinθ - θcosθ) at any θ is such that

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The normal of the curve x = a(cosθ + θsinθ), y = a(sinθ - θcosθ)  at any θ is such that

(A) It makes a constant angle with x−axis

(B) It passes through the origin

(C) It is at a constant distance from the origin

(D) None of these

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Answer is (C) It is at a constant distance from the origin

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