Select the Polar Equation of the Conic for ​E = $r = \frac { 2 e } { 1 + e \sin \theta }$

question 49

Multiple Choice

Select the polar equation of the conic for ​e = 1.0 and identify the conic for the following equation.​ $r = \frac { 2 e } { 1 + e \sin \theta }$ ​

• A) \(r = \frac { 1 } { 1 + \sin \theta } \Rightarrow \text { parabola }\)
• B) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { parabola }\)
• C) \(r = \frac { 2 } { 1 - 2 \sin \theta } \Rightarrow \text { ellipse }\)
• D) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { ellipse }\)
• E) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { parabola }\)

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