Find a Polar Equation of the Conic with Its Focus $e = 2$

question 7

Multiple Choice

Find a polar equation of the conic with its focus at the pole. ​
Conics
​Eccentrity
Directrix
Hyperbola $e = 2$ $x = 1$ ​

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

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Definitions:

Openings

Natural or artificial apertures or cavities that provide access or passage in biological and structural contexts.

Gases

State of matter consisting of particles that have neither a defined volume nor shape, often able to expand freely to fill any space.

Plasmodesmata

Microscopic channels allowing for the transport and communication between plant cells through their cell walls.

Guard Cells

Specialized cells surrounding stomata in plant leaves and stems, regulating gas exchange and water loss by opening and closing the stomatal aperture.