Mathematics & Statistics
Texas Tech University
Kent Pearce

Department of Mathematics and Statistics
Texas Tech University
Lubbock, Texas 79409-1042
Voice: (806)742-2566 x 226
FAX: (806)742-1112
Email: kent.pearce@ttu.edu

Math 1350
Analytical Geometry
Fall 2014
Riddle
Analytical Geometry
Brooks/Cole

Review Exam II

Section Content      Suggested Problems
Section 3.1
  • Point-Slope form of a line
  • Two-point form of a line
Page 92: 1, 9, 15, 17, 25,
Section 3.2
  • Slope-intercept form of a line
  • Intercept form of a line
  • General form of a line
Page 102: 5, 13, 21, 33
Section 3.3
  • Distance from a point to a line
Page 112: 5, 9, 13, 17
Section 4.1
  • Center-radius (standard) form of a circle
  • General form of a circle
  • Degenerate cases
Page 134: 3, 7, 9, 19, 21, 29
Section 4.2
  • 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
Page 146: 1, 3
Section 5.1
  • Conic Sections
  • General Quadratic Equation
 
Section 5.2
  • 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
Page 158: 1, 7, 13, 15, 19, 21
Section 5.3
  • 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
Page 169: 1, 5, 7, 9, 11, 13, 17, 19
Section 5.4
  • 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
Page 181: 1, 3, 9, 13, 15, 16, 17, 18, 21
Section 6.1
  • Translation of conic sections
  • Equations of translation
    • x = x' + h
    • y = y' + k
  • 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
Page 198: 7, 8, 9, 10, 11, 12, 21, 22, 23, 25






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Last modified on: Monday, 10-Aug-2015 12:18:41 CDT