Write a Polar Equation of a Hyperbola with Eccentricity $3$ And Directrix

question 89

Multiple Choice

Write a polar equation of a hyperbola with eccentricity $3$ and directrix $r = 2 \csc \theta$

• A) \(r= \frac { 3 } { 1 + 3 \cos \theta }\)
• B) \(r = \frac { 3 } { 1 - 3 \sin \theta }\)
• C) \(r = \frac { 2 } { 2 + 3 \cos }\)
• D) \(r = \frac { 6 } { 1 + 3 \sin \theta }\)
• E) \(r= \frac { 6 } { 1 - 3 \sin \theta }\)

---

Definitions:

Follower's Motivation

The drive or incentive that followers have to pursue goals or tasks, which can be enhanced through effective leadership.

Internal Locus of Control

The belief that one controls their own destiny through their own actions, decisions, and behaviors.

Social Media Strategy

A planned approach to maximize engagement and achieve marketing goals through social media platforms.

Path-goal Theory

A leadership theory that suggests a leader's behavior is related to the satisfaction, motivation, and performance of their subordinates, and it outlines how leaders can adjust their behaviors to meet their followers' needs.