   Chapter 12.6, Problem 16E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 11-26 Graphs of polar Equations of Conics Match the following equation with the graphs labeled I-VI. Give reason for your answer. r = 12 2 + 3 cos θ To determine

Nature of graph the graphs labeled I-VI for the conic equation r=122+3cosθ and reason for the answer.

Explanation

Given:

The given conic equation

r=122+3cosθ

θ is angle.

Approach:

Compare the given equation with standard equation r=ed1+ecosθ…(1)

Then,

e<1,it is an ellipsee=1it is a parabolae>1it is a hyperbola

Write the equation of directrix

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