The length of the perpendicular from the origin to the normal of curve x = a (cosθ + θ…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The length of the perpendicular from the origin to the normal of curve x = a (cosθ + θ sin θ), y = a (sin θ – θ cos θ)
at a point θ is ‘a’, if θ =
  1. π/4
  2. π/3
  3. π/2
  4. π/6

Answer

(A) π /4, (B) π /3, (C) π /2, (D) π /6

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