The Eccentricity Is Given of a Conic Section with One $r = \frac { 45 } { 1 + 5 \cos \theta }$

question 221

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 = 5, y = 9

• A) \(r = \frac { 45 } { 1 + 5 \cos \theta }\)
• B) \(r = \frac { 45 } { 1 - 5 \sin \theta }\)
• C) \(r = \frac { 45 } { 1 + 5 \sin \theta }\)
• D) \(r = \frac { 45 } { 1 + 9 \sin \theta }\)

---

Definitions:

Split-brain Patient

A condition observed in individuals who have undergone a corpus callosotomy, a procedure that severs the corpus callosum, leading to the independent functioning of the two cerebral hemispheres.

Spatial Reasoning

The ability to visualize and manipulate two- and three-dimensional shapes, understanding their positions and relationships in space.

Verbal Fluency

The ability to swiftly produce words in a coherent manner, often tested in psychological assessments to gauge language skills.