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

question 413

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) \(r = \frac { 2 } { 1 + \sin \theta } \Rightarrow \text { parabola }\).

---

Definitions:

Avoiding Relationships

A behavior pattern where an individual actively distances themselves from forming close or intimate relationships with others.

Transitional Object

An object, often a soft toy or blanket, used by children to provide psychological comfort in times of stress or change.

Psychosocial Development

A theory proposed by Erik Erikson that describes the impact of social experience across the whole lifespan, emphasizing the development of personality and the acquisition of social skills.

Archetype

A universally recognized symbol or pattern of behavior that is found in myths and collective unconscious, according to Jungian psychology.