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Example Questions
Example Question #1 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic section:
Parabola
Hyperbola
Ellipse
Hyperbola
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
Now, for the given conic section, so it must be a hyperbola.
Example Question #2 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic section:
Parabola
Hyperbola
Ellipse
Ellipse
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
Now, for the given conic section, so it must be an ellipse.
Example Question #1 : Polar Equations Of Conic Sections
Given the polar equation, determine the conic sectioN:
Parabola
Hyperbola
Ellipse
Ellipse
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be an ellipse.
Example Question #4 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic section:
Hyperbola
Ellipse
Parabola
Parabola
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a parabola.
Example Question #5 : Identify The Conic With A Given Polar Equation
Given the polar equation, determine the conic section:
Parabola
Ellipse
Hyperbola
Hyperbola
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a hyperbola.
Example Question #2 : Identify The Conic With A Given Polar Equation
Given the polar equation, identify the conic section.
Ellipse
Hyperbola
Parabola
Parabola
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
Now, for the given conic section, so it must be a parabola.
Example Question #21 : Conic Sections
Given the polar equation, identify the conic section:
Ellipse
Parabola
Hyperbola
Hyperbola
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a hyperbola.
Example Question #8 : Polar Equations Of Conic Sections
Given the polar equation, identify the conic section:
Parabola
Ellipse
Hyperbola
Hyperbola
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a hyperbola.
Example Question #9 : Polar Equations Of Conic Sections
Given the polar equation, identify the conic section.
Hyperbola
Parabola
Ellipse
Ellipse
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be an ellipse.
Example Question #1 : Polar Equations Of Conic Sections
Given the polar equation, identify the conic section.
Hyperbola
Ellipse
Parabola
Parabola
Recall that the polar equations of conic sections can come in the following forms:
, where
is the eccentricity of the conic section.
To determine what conic section the polar graph depicts, look only at the conic section's eccentricity.
will give an ellipse.
will give a parabola.
will give a hyperbola.
First, put the given polar equation into one of the forms seen above by dividing everything by .
Now, for the given conic section, so it must be a parabola.
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