Select the Parametric Equations Matching with the Following Graph $x = \frac { 1 } { 3 } ( \cos \theta + \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta - \theta \cos \theta )$

question 47

Multiple Choice

Select the parametric equations matching with the following graph.

• A) Involute of circle: \(x = \frac { 1 } { 3 } ( \cos \theta + \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta - \theta \cos \theta )\)
• B) Involute of circle: \(x = \frac { 1 } { 3 } ( \cos \theta - \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta + \cos \theta )\)
• C) Involute of circle: \(x = \frac { 1 } { 3 } ( \cos \theta - \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta - \theta \cos \theta )\)
• D) Involute of circle: \(x = \frac { 1 } { 3 } ( \cos \theta + \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta + \theta \cos \theta )\)
• E) Involute of circle: \(x = \frac { 1 } { 3 } ( \cos \theta + \theta \sin \theta ) , y = \frac { 1 } { 3 } ( \sin \theta - \cos \theta )\)

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