The Eccentricity Is Given of a Conic Section with One $r = \frac { 16 } { 1 - 2 \cos \theta }$

question 150

Multiple Choice

The eccentricity is given of a conic section with one focus at the origin, along with the directrix corresponding to that focus. Find a polar equation for the conic section.
-e = 2, x = -8

• A) \(r = \frac { 16 } { 1 - 2 \cos \theta }\)
• B) \(r = \frac { 16 } { 1 + 2 \cos \theta }\)
• C) \(r = \frac { 16 } { 1 + 8 \cos \theta }\)
• D) \(r = \frac { 16 } { 1 - 2 \sin \theta }\)

---

Definitions:

Modernization Theory

A theory suggesting that societal development occurs through a series of progressive stages, typically moving from traditional to modern industrial societies.

Traditional Society

A society that is largely based on customs, traditions, and pre-modern economic activities such as agriculture.

Modern Society

A societal phase marked by advanced technology, industrialization, rationality, and complex social structures, differentiating it from earlier societies.

Cultural Diversity

The existence of a variety of cultural or ethnic groups within a society, celebrated for enriching the social fabric.