Concept explainers
61. Which of the following equations might have the graph shown? (More than one answer is possible.)
a.
b.
c.
d.
e.
f.
g.
h.
To find: Which of the following equations might have the graph (More than one answer is possible.)
Answer to Problem 61AYU
Solution:
(b),(e),(c),(g) may represent the given graph.
Explanation of Solution
Given:
a.
b.
c.
d.
e.
f.
g.
h.
Note that is a point on the circle, this means that should satisfy the equation of this circle
Only option(b), (e), (f) and (g) satisfy this condition.
Finding the center of the circle for equation (e)
The above equation can be written as
The center of this circle is
From the given graph, we can see that
Distance of the center from Distance of the center from .
The above condition is not satisfied if the center is
Finding the center of the circle for equation (f)
The above equation can be written as
The center of this circle is
From the given graph, we can see that the center of the circle lies in the First quadrant.
The above condition is not satisfied if the center is
Finding the center of the circle for equation (g)
The above equation can be written as
The center of this circle is
From the given graph, we can see that
Distance of the center from Distance of the center from .
Hence, equation (g), may represent the given graph.
Similarly the equation (b),(c) and (e) are satisfies the given graph.
Chapter 1 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
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