Podcast
Questions and Answers
Which term refers to the line over which a parabola is symmetric?
Which term refers to the line over which a parabola is symmetric?
- Circle
- Branch
- Center
- Axis (correct)
For an ellipse and hyperbola, what is the midpoint between the foci called?
For an ellipse and hyperbola, what is the midpoint between the foci called?
- Axis
- Branch
- Center (correct)
- Circle
What is the term for the set of all points equidistant from a given fixed point?
What is the term for the set of all points equidistant from a given fixed point?
- Center
- Branch
- Circle (correct)
- Axis
What is the term for each of the two distinct sections of the graph of a hyperbola?
What is the term for each of the two distinct sections of the graph of a hyperbola?
What is the term for a conic which is not a parabola, ellipse, circle, or hyperbola?
What is the term for a conic which is not a parabola, ellipse, circle, or hyperbola?
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Study Notes
Conic Sections and Key Terms
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The line over which a parabola is symmetric is called the axis of symmetry. This line helps define the mirror-like quality of the parabola.
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The midpoint between the foci of an ellipse or hyperbola is referred to as the center. This point plays a crucial role in the geometrical properties of these conic sections.
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A set of all points that are equidistant from a fixed point is known as a circle. The fixed point is termed the center of the circle.
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Each of the two distinct sections of the graph of a hyperbola is called a branch. These branches open away from each other and reflect the hyperbola's unique structure.
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A conic section which cannot be classified as a parabola, ellipse, circle, or hyperbola is referred to as a degenerate conic. Examples include points, lines, and intersecting pairs of lines.
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