Write a Polar Equation In $r$ And $\theta$ Of an Ellipse with the Focus at the Origin, with Ellipse

question 149

Multiple Choice

Write a polar equation in $r$ and $\theta$ of an ellipse with the focus at the origin, with the eccentricity $\frac { 6 } { 7 }$ and directrix $x = - 13$ .

• A) \(r = \frac { 78 } { 7 - 6 \cos \theta }\)
• B) \(r = \frac { 13 } { 7 + 6 \cos \theta }\)
• C)
• \(r = \frac { 78 } { 1 - 6 \cos \theta }\)
• D)
• \(r = \frac { 78 } { 7 + 6 \cos \theta }\)
• E)
• \(r = \frac { 6 } { 3 - 6 \sin \theta }\)

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Definitions:

Bid

An acronym in medical prescribing that stands for "bis in die" which means "twice a day".

Tid

An acronym in medical prescriptions standing for "ter in die," which means three times a day.

Prn

An abbreviation for "pro re nata," a Latin phrase meaning “as the situation demands” used in healthcare to instruct that medication should be taken as needed.

Sig

A term used in prescriptions, derived from "Signa," indicating the dose, frequency, and manner of taking a medication.