Select the Polar Equation of the Conic for E = $r = \frac { 2 e } { 1 - e \cos \theta }$

question 366

Multiple Choice

Select the polar equation of the conic for e = 0.75 and identify the conic for the following equation. $r = \frac { 2 e } { 1 - e \cos \theta }$

• A) \(r = \frac { 1.5 } { 1 - 0.75 \cos \theta } \Rightarrow \text { ellipse }\)
• B) \(r = \frac { 1.5 } { 1 - 1.75 \cos \theta } \Rightarrow \text { parabola }\)
• C) \(r = \frac { 0.75 } { 1 + 0.75 \cos \theta } \Rightarrow \text { parabola }\)
• D) \(r = \frac { 1.5 } { 1 + \cos \theta } \Rightarrow \text { ellipse }\)
• E) \(r = \frac { 1.75 } { 1 + \cos \theta } \Rightarrow \text { parabola }\)