Conic Section

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    Chapter 6: Conic Section (157 videos)   (Practice Test)

      6.1: Introduction (Practice Test)
      Introduction to Conic Section
    1. Introduction to Conic Section
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      2. More on Introduction to Conic Section
    2. More on Introduction to Conic Section
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      3. Standard Form of Equation of Circle
    3. Standard Form of Equation of Circle
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      4. General Form of Equation of Circle
    4. General Form of Equation of Circle
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      5. More on General Form of Equation of Circle
    5. More on General Form of Equation of Circle
      2846 views
      6. Equation of Circle Passing Though Three Non-Collinear Points
    6. Equation of Circle Passing Though Three Non-Collinear Points
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      7. More on Equation of Circle Passsing Through 3 Non-Collinear Points
    7. More on Equation of Circle Passsing Through 3 Non-Collinear Points
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      8. Equation of Circle Passing Through 2 Points and its Centre on Line
    8. Equation of Circle Passing Through 2 Points and its Centre on Line
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      9. Equation-Circle Passing Though 2 Points with 1 Tangential Point
    9. Equation-Circle Passing Though 2 Points with 1 Tangential Point
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      10. Equation-Circle Passing Though 2 Points with 1 Tangential Point-1
    10. Equation-Circle Passing Though 2 Points with 1 Tangential Point-1
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      11. Equation-Circle Passing Through 2 Points and Line
    11. Equation-Circle Passing Through 2 Points and Line
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      12. Equation-Circle Passing Through 2 Points and Line
    12. Equation-Circle Passing Through 2 Points and Line
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      6.2: Tangents and Normals (Practice Test)
      Equation of Tangent to Circle
    1. Equation of Tangent to Circle
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      2. More on Equation of Tangent to Circle
    2. More on Equation of Tangent to Circle
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      3. Problem1- Equation of Tangent to Circle
    3. Problem1- Equation of Tangent to Circle
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      4. Problem2a-Equation of Tangent to Circle
    4. Problem2a-Equation of Tangent to Circle
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      5. Problem2b-Equation of Tangent to Circle
    5. Problem2b-Equation of Tangent to Circle
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      6. Equation of Normal to Circle
    6. Equation of Normal to Circle
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      7. Problem-Points Lie Inside, Outside or on the Circle
    7. Problem-Points Lie Inside, Outside or on the Circle
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      8. Points Lie Inside, Outside or on the Circle
    8. Points Lie Inside, Outside or on the Circle
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      9. More on Points Lie Inside, Outside or on the Circle
    9. More on Points Lie Inside, Outside or on the Circle
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      10. Line Intersects Circle at Most 2 Points
    10. Line Intersects Circle at Most 2 Points
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      11. Condition that Line may be Tangent to Circle
    11. Condition that Line may be Tangent to Circle
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      6.3: Analytical Proofs of Important Properties of a Circle (Practice Test)
      Proof-2 Tangents can be Drawn to Circle from Point
    1. Proof-2 Tangents can be Drawn to Circle from Point
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      2. More on Proof-2 Tangents can be Drawn to Circle from Point
    2. More on Proof-2 Tangents can be Drawn to Circle from Point
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      3. Length of Tangent to Circle
    3. Length of Tangent to Circle
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      4. To Prove Circles Diameter is 2 Times its Radius
    4. To Prove Circles Diameter is 2 Times its Radius
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      5. Chords Perpendicular Passes Centre of Circle
    5. Chords Perpendicular Passes Centre of Circle
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      6. More on Chords Perpendicular Passes Centre of Circle
    6. More on Chords Perpendicular Passes Centre of Circle
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      7. Line From Centre and Midpoint of Chord is Perp to it
    7. Line From Centre and Midpoint of Chord is Perp to it
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      8. More on Line From Centre and Midpoint of Chord is Perp to it
    8. More on Line From Centre and Midpoint of Chord is Perp to it
      451 views
      9. Congruent Chords are Equidistance from Centre of Circle
    9. Congruent Chords are Equidistance from Centre of Circle
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      10. More on Congruent Chords are Equidistance from Centre of Circle
    10. More on Congruent Chords are Equidistance from Centre of Circle
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      11. Angle in Semi-Circle is Right Angle
    11. Angle in Semi-Circle is Right Angle
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      12. More on Angle in Semi-Circle is Right Angle
    12. More on Angle in Semi-Circle is Right Angle
      490 views
      13. Perpendicular Radial Segment is Tangent to Circle
    13. Perpendicular Radial Segment is Tangent to Circle
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      14. More on Perpendicular Radial Segment is Tangent to Circle
    14. More on Perpendicular Radial Segment is Tangent to Circle
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      15. Tangent to Circle is Perpendicular to Radial Segment
    15. Tangent to Circle is Perpendicular to Radial Segment
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      6.4: Parabola (Practice Test)
      Introduction to Parabola
    1. Introduction to Parabola
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      2. More on Introduction to Parabola
    2. More on Introduction to Parabola
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      3. Terms Related to Parabola
    3. Terms Related to Parabola
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      4. General Form of Equation of Parabola
    4. General Form of Equation of Parabola
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      5. Other Standard Parabola
    5. Other Standard Parabola
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      6. Graph of Parabola Facing Upward
    6. Graph of Parabola Facing Upward
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      7. Graph of Parabola Facing Downward
    7. Graph of Parabola Facing Downward
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      8. Graph of Parabola Facing Rightward
    8. Graph of Parabola Facing Rightward
      601 views
      9. Graph of Parabola Facing Leftward
    9. Graph of Parabola Facing Leftward
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      10. Problem Related with Parabola
    10. Problem Related with Parabola
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      11. Parabola with Vertex not at Origin
    11. Parabola with Vertex not at Origin
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      12. More on Parabola with Vertex not at Origin
    12. More on Parabola with Vertex not at Origin
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      13. Problem-Parabola with Vertex not at Origin
    13. Problem-Parabola with Vertex not at Origin
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      14. Graphing Parabola with Vertex not at Origin
    14. Graphing Parabola with Vertex not at Origin
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      15. More on Graphing Parabola with Vertex not at Origin
    15. More on Graphing Parabola with Vertex not at Origin
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      16. Finding Equation of Parabola with Focus and Vertex
    16. Finding Equation of Parabola with Focus and Vertex
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      17. Finding Equation of Parabola with Directrix and Vertex
    17. Finding Equation of Parabola with Directrix and Vertex
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      18. Problem1-Finding Equation of Parabola with Focus and Vertex
    18. Problem1-Finding Equation of Parabola with Focus and Vertex
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      19. Problem2-Finding Equation of Parabola with Focus and Vertex
    19. Problem2-Finding Equation of Parabola with Focus and Vertex
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      20. Problem3-Finding Equation of Parabola with Focus and Vertex
    20. Problem3-Finding Equation of Parabola with Focus and Vertex
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      6.5: Ellipse and Its Elements (Practice Test)
      Obtaining Standard Equation of Ellipse
    1. Obtaining Standard Equation of Ellipse
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      2. More on Obtaining Standard Equation of Ellipse-1
    2. More on Obtaining Standard Equation of Ellipse-1
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      3. More on Obtaining Standard Equation of Ellipse-2
    3. More on Obtaining Standard Equation of Ellipse-2
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      4. More on Obtaining Standard Equation of Ellipse-3
    4. More on Obtaining Standard Equation of Ellipse-3
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      5. Circle as Special Case of Ellipse
    5. Circle as Special Case of Ellipse
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      6. Basic Terms Associated with Ellipse
    6. Basic Terms Associated with Ellipse
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      7. More on Basic Terms Associated with Ellipse
    7. More on Basic Terms Associated with Ellipse
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      8. Standard Form of Vertical and Horizontal Ellipses
    8. Standard Form of Vertical and Horizontal Ellipses
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      9. Problem1-Standard Form of Vertical and Horizontal Ellipses
    9. Problem1-Standard Form of Vertical and Horizontal Ellipses
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      10. Translation of Horizontal Ellipse
    10. Translation of Horizontal Ellipse
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      11. Translation of Vertical Ellipse
    11. Translation of Vertical Ellipse
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      12. More on Translation of Vertical Ellipse
    12. More on Translation of Vertical Ellipse
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      13. Equation of Ellipse with Foci and Vertices
    13. Equation of Ellipse with Foci and Vertices
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      14. Problem1-Equation of Ellipse with Foci and Vertices
    14. Problem1-Equation of Ellipse with Foci and Vertices
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      15. Problem3-Equation of Ellipse with Foci and Vertices
    15. Problem3-Equation of Ellipse with Foci and Vertices
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      16. Ellipse Equation with Centre and Length of Axes
    16. Ellipse Equation with Centre and Length of Axes
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      17. Ellipse Equation with Centre and Given Point
    17. Ellipse Equation with Centre and Given Point
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      18. More on Ellipse Equation with Centre and Given Point
    18. More on Ellipse Equation with Centre and Given Point
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      19. Ellipse Equation with Vertices and Eccentricity
    19. Ellipse Equation with Vertices and Eccentricity
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      20. Ellipse Equation with Vertices & Length of Semi-minor Axis
    20. Ellipse Equation with Vertices & Length of Semi-minor Axis
      233 views
      6.6: Hyperbola and Its Elements (Practice Test)
      Defining Hyperbola
    1. Defining Hyperbola
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      2. Standard Form of Equation of Hyperbola
    2. Standard Form of Equation of Hyperbola
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      3. More on Standard Form of Equation of Hyperbola
    3. More on Standard Form of Equation of Hyperbola
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      4. More on Standard Form of Equation of Hyperbola
    4. More on Standard Form of Equation of Hyperbola
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      5. Asymptotes of Hyperbola
    5. Asymptotes of Hyperbola
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      6. Foci of Hyperbola
    6. Foci of Hyperbola
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      7. More on Foci of Hyperbola
    7. More on Foci of Hyperbola
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      8. Problem1-Foci of Hyperbola
    8. Problem1-Foci of Hyperbola
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      9. Horizontal Hyperbola
    9. Horizontal Hyperbola
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      10. Vertical Hyperbola
    10. Vertical Hyperbola
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      11. Rectangular Hyperbola
    11. Rectangular Hyperbola
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      12. Graphing Hyperbola
    12. Graphing Hyperbola
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      13. More on Graphing Hyperbola
    13. More on Graphing Hyperbola
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      14. Problem1-Graphing Hyperbola
    14. Problem1-Graphing Hyperbola
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      15. Problem2-Graphing Hyperbola
    15. Problem2-Graphing Hyperbola
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      16. Hyperbola with Focus and Eccentricity
    16. Hyperbola with Focus and Eccentricity
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      17. Graphing Hyperbola with Eccentricity and Latus Rectum
    17. Graphing Hyperbola with Eccentricity and Latus Rectum
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      18. Graphing Hyperbola with Focus and Directrix
    18. Graphing Hyperbola with Focus and Directrix
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      19. Translation of Hyperbola with Horizontally
    19. Translation of Hyperbola with Horizontally
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      20. More on Translation of Hyperbola with Horizontally
    20. More on Translation of Hyperbola with Horizontally
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      21. Translation of Hyperbola Vertically
    21. Translation of Hyperbola Vertically
      332 views
      22. More on Translation of Vertical Hyperbola
    22. More on Translation of Vertical Hyperbola
      131 views
      6.7: Tangents and Normals (Practice Test)
      Intersection of Line and Parabola
    1. Intersection of Line and Parabola
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      2. More on Intersection of Line and Parabola
    2. More on Intersection of Line and Parabola
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      3. Equation of Tangent Line to Parabola in Slope Form
    3. Equation of Tangent Line to Parabola in Slope Form
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      4. Equation of Tangent Line to Parabola at Given Point
    4. Equation of Tangent Line to Parabola at Given Point
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      5. More on Equation of Tangent Line to Parabola at Given Point
    5. More on Equation of Tangent Line to Parabola at Given Point
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      6. Problem-Equation of Tangent Line to Parabola at Given Point
    6. Problem-Equation of Tangent Line to Parabola at Given Point
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      7. Equation of Normal Line to Parabola at Given Point
    7. Equation of Normal Line to Parabola at Given Point
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      8. Problem1-Equation of Normal Line to Parabola at Given Point
    8. Problem1-Equation of Normal Line to Parabola at Given Point
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      9. Application of Parabola-Suspension Related Problem
    9. Application of Parabola-Suspension Related Problem
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      10. Reflecting Property of Parabola
    10. Reflecting Property of Parabola
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      11. Use of Parabola on Everyday Life-Problem
    11. Use of Parabola on Everyday Life-Problem
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      12. Points of Intersection of Line and Ellipse
    12. Points of Intersection of Line and Ellipse
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      13. More on Points of Intersection of Line and Ellipse
    13. More on Points of Intersection of Line and Ellipse
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      14. Condition of Tangency of Line to Ellipse
    14. Condition of Tangency of Line to Ellipse
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      15. Equation of Tangent to Ellipse at Point
    15. Equation of Tangent to Ellipse at Point
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      16. More on Equation of Tangent to Ellipse at Point
    16. More on Equation of Tangent to Ellipse at Point
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      17. Equation of Normal to Ellipse at Point
    17. Equation of Normal to Ellipse at Point
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      18. More on Equation of Normal to Ellipse at Point
    18. More on Equation of Normal to Ellipse at Point
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      19. Problem1a-Equation of Normal to Ellipse at Point
    19. Problem1a-Equation of Normal to Ellipse at Point
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      20. Problem1b-Equation of Normal to Ellipse at Point
    20. Problem1b-Equation of Normal to Ellipse at Point
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      21. Graph of Ellipse
    21. Graph of Ellipse
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      22. More on Graph of Ellipse
    22. More on Graph of Ellipse
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      23. Point of Intersection of Line with Hyperbola
    23. Point of Intersection of Line with Hyperbola
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      24. Condition of Tangency of Line to Hyperbola
    24. Condition of Tangency of Line to Hyperbola
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      25. Problem- Condition of Tangency of Line to Hyperbola
    25. Problem- Condition of Tangency of Line to Hyperbola
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      26. Equation of Tangent Line to Hyperbola at Point
    26. Equation of Tangent Line to Hyperbola at Point
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      27. More on Equation of Tangent Line to Hyperbola at Point
    27. More on Equation of Tangent Line to Hyperbola at Point
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      28. Problem- Equation of Tangent Line to Hyperbola at Point
    28. Problem- Equation of Tangent Line to Hyperbola at Point
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      29. Equation of Normal Line to Hyperbola at Point
    29. Equation of Normal Line to Hyperbola at Point
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      30. More on Equation of Normal Line to Hyperbola at Point
    30. More on Equation of Normal Line to Hyperbola at Point
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      31. Intersection of Two Conics
    31. Intersection of Two Conics
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      32. More on Intersection of Two Conics
    32. More on Intersection of Two Conics
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      33. Problem1a-Intersection of Two Conics
    33. Problem1a-Intersection of Two Conics
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      34. Problem1b-Intersection of Two Conics
    34. Problem1b-Intersection of Two Conics
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      6.8: Translation and Rotation of Axes (Practice Test)
      Translation of Axes
    1. Translation of Axes
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      2. Problem1-Translation of Axes
    2. Problem1-Translation of Axes
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      3. Problem2-Translation of Axes
    3. Problem2-Translation of Axes
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      4. Rotation of Axes
    4. Rotation of Axes
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      5. Problem1- Rotation of axis
    5. Problem1- Rotation of axis
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      6. More on Rotation of Axes
    6. More on Rotation of Axes
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      7. Rotation of Conic
    7. Rotation of Conic
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      8. More on Rotation of Conic
    8. More on Rotation of Conic
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      9. Problem1a-Rotation of Conic
    9. Problem1a-Rotation of Conic
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      10. Problem1b-Rotation of Conic
    10. Problem1b-Rotation of Conic
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      11. Problem1b-Rotation of Conic
    11. Problem1b-Rotation of Conic
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      12. Problem1d-Rotation of Conic
    12. Problem1d-Rotation of Conic
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      13. Problem2a-Rotation of Conic
    13. Problem2a-Rotation of Conic
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      14. Problem2b-Rotation of Conic
    14. Problem2b-Rotation of Conic
      208 views
      6.9: The General Equation of Second Degree (Practice Test)
      General Degree of 2nd Degree Equation-Circle
    1. General Degree of 2nd Degree Equation-Circle
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      2. General Degree of 2nd Degree Equation-Ellipse
    2. General Degree of 2nd Degree Equation-Ellipse
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      3. General Degree of 2nd Degree Equation-Hyperbola
    3. General Degree of 2nd Degree Equation-Hyperbola
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      4. General Degree of 2nd Degree Equation-Parabola
    4. General Degree of 2nd Degree Equation-Parabola
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      5. Classification of Conic by Discriminant
    5. Classification of Conic by Discriminant
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      6. Finding Angle of Rotation in Conic
    6. Finding Angle of Rotation in Conic
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      7. More on Finding Angle of Rotation in Conic
    7. More on Finding Angle of Rotation in Conic
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      8. Further stuff on Finding Angle of Rotation in Conic
    8. Further stuff on Finding Angle of Rotation in Conic
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      9. Problem1-Finding Angle of Rotation in Conic
    9. Problem1-Finding Angle of Rotation in Conic
      195 views