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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