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One among the following is the correct explanation of pedal equation of an polar curve, r = f (θ), p = r sin(∅) (where p is the length of the perpendicular from the pole to the tangent & ∅ is the angle made by tangent to the curve with vector drawn to curve from pole)is _______. 
  • a)
    It is expressed in terms of p & θ only
  • b)
    It is expressed in terms of p & ∅ only 
  • c)
    It is expressed in terms of r & θ only 
  • d)
    It is expressed in terms of p& r only
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
One among the following is the correct explanation of pedal equation o...
It is expressed in terms of p & r only 
where p = r
& r = f (θ) or after solving we get direct relationship between p & r as
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One among the following is the correct explanation of pedal equation o...
Θ):

The pedal equation of a polar curve r = f(θ) is a parametric equation that describes the trace of the pedal point as it moves along the curve.

The pedal point is a point on the curve that is perpendicular to the tangent line at that point. It is the foot of the perpendicular from the origin to the tangent line.

The equation for the pedal point in polar coordinates is given by:

r' = f(θ) - f'(θ) / (f'(θ)^2 + 1)^(1/2)

where r' is the distance from the origin to the pedal point and f'(θ) is the derivative of f(θ) with respect to θ.

This equation represents the coordinates of the pedal point as it moves along the curve. It can be used to find the shape of the pedal curve and study its properties.
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One among the following is the correct explanation of pedal equation of an polar curve, r = f (θ), p = r sin(∅) (where p is the length of the perpendicular from the pole to the tangent & ∅ is the angle made by tangent to the curve with vector drawn to curve from pole)is _______.a)It is expressed in terms of p & θ onlyb)It is expressed in terms of p & ∅ onlyc)It is expressed in terms of r & θ onlyd)It is expressed in terms of p& r onlyCorrect answer is option 'D'. Can you explain this answer?
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One among the following is the correct explanation of pedal equation of an polar curve, r = f (θ), p = r sin(∅) (where p is the length of the perpendicular from the pole to the tangent & ∅ is the angle made by tangent to the curve with vector drawn to curve from pole)is _______.a)It is expressed in terms of p & θ onlyb)It is expressed in terms of p & ∅ onlyc)It is expressed in terms of r & θ onlyd)It is expressed in terms of p& r onlyCorrect answer is option 'D'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about One among the following is the correct explanation of pedal equation of an polar curve, r = f (θ), p = r sin(∅) (where p is the length of the perpendicular from the pole to the tangent & ∅ is the angle made by tangent to the curve with vector drawn to curve from pole)is _______.a)It is expressed in terms of p & θ onlyb)It is expressed in terms of p & ∅ onlyc)It is expressed in terms of r & θ onlyd)It is expressed in terms of p& r onlyCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One among the following is the correct explanation of pedal equation of an polar curve, r = f (θ), p = r sin(∅) (where p is the length of the perpendicular from the pole to the tangent & ∅ is the angle made by tangent to the curve with vector drawn to curve from pole)is _______.a)It is expressed in terms of p & θ onlyb)It is expressed in terms of p & ∅ onlyc)It is expressed in terms of r & θ onlyd)It is expressed in terms of p& r onlyCorrect answer is option 'D'. Can you explain this answer?.
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