Section
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Content
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Suggested Problems
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Section 3.1
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- Point-Slope form of a line
- Two-point form of a line
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Page 92: 1, 9, 15, 17, 25,
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Section 3.2
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- Slope-intercept form of a line
- Intercept form of a line
- General form of a line
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Page 102: 5, 13, 21, 33
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Section 3.3
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- Distance from a point to a line
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Page 112: 5, 9, 13, 17
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Section 4.1
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- Center-radius (standard) form of a circle
- General form of a circle
- Degenerate cases
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Page 134: 3, 7, 9, 19, 21, 29
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Section 4.2
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- Conditions to determine a circle
- Three (non-colinear) points on circle
Solution: System of three equations
Solution: Chords of circle & perpendicular bisectors
- Tangent lines to a circle
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Page 146: 1, 3
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Section 5.1
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- Conic Sections
- General Quadratic Equation
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Section 5.2
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- Parabola
- Definition
- Focus
- Directrix
- Equidistance of point on parabola to focus and directrix
- Equation
- Type I: Axis of symmetry: x-axis
- Type II: Axis of symmetry: y-axis
- Geometry
- Vertex
- Focus
- Directrix
- Axis of Symmetry
- Latus Rectum
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Page 158: 1, 7, 13, 15, 19, 21
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Section 5.3
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- Ellipse
- Definition
- Two Foci
- Constant sum of distances from point on ellipse to two foci
- Equation
- Type I: Major Axis: x-axis
- Type II: Major Axis: y-axis
- Geometry
- Center
- Vertices
- Co-vertices
- Foci
- Major axis
- Minor axis
- Eccentricity
- Directrices
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Page 169: 1, 5, 7, 9, 11, 13, 17, 19
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Section 5.4
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- Hyperbola
- Definition
- Two Foci
- Constant difference of distances from point on ellipse to two foci
- Equation
- Type I: Transverse axis: x-axis
- Type II: Transverse axis: y-axis
- Geometry
- Center
- Vertices
- Foci
- Transverse axis
- Conjugate axis
- Asymptotes
- Eccentricity
- Directrices
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Page 181: 1, 3, 9, 13, 15, 16, 17, 18, 21
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Section 6.1
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- Translation of conic sections
- Equations of translation
- Standard forms for conic sections
- Parabola
- Type I: Axis of symmetry parallel to x-axis
- Type II: Axis of symmetry parallel to y-axis
- Ellipse
- Type I: Major axis parallel to x-axis
- Type II: Major axis parallel to y-axis
- Hyperbola
- Type I: Transverse axis parallel to x-axis
- Type II: Transverse axis parallel to y-axis
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Page 198: 7, 8, 9, 10, 11, 12, 21, 22, 23, 25
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