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The normal to the curve x = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ) at any point θ ' is such that
  • a)
    it passes through the origin
  • b)
    it makes an angle  with the x- axis
  • c)
    it passes through 
  • d)
    it is at a constant distance from the origin
Correct answer is option 'D'. Can you explain this answer?
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The normal to the curvex = a (cos θ + θ sin θ), y = ...
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The normal to the curvex = a (cos θ + θ sin θ), y = ...
x =a (cos θ + θ sinθ
   .....(1)
From equations (1) and (2), we get
Equation of normal at ' θ ' is y – a (sin θ – θ cos θ)

Clearly this is an equation of straight line which is at a constant distance ‘a’ from origin.
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The normal to the curvex = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ) at any point θ ' is such thata)it passes through the originb)it makes an angle with the x- axisc)it passes through d)it is at a constant distance from the originCorrect answer is option 'D'. Can you explain this answer?
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The normal to the curvex = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ) at any point θ ' is such thata)it passes through the originb)it makes an angle with the x- axisc)it passes through d)it is at a constant distance from the originCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The normal to the curvex = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ) at any point θ ' is such thata)it passes through the originb)it makes an angle with the x- axisc)it passes through d)it is at a constant distance from the originCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The normal to the curvex = a (cos θ + θ sin θ), y = a (sin θ – θ cos θ) at any point θ ' is such thata)it passes through the originb)it makes an angle with the x- axisc)it passes through d)it is at a constant distance from the originCorrect answer is option 'D'. Can you explain this answer?.
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