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Worksheet

Introduction to Conic Sections

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Show your work for each problem.

  1. 1.
    What type of conic section is ?
    1. a)Parabola
    2. b)Ellipse
    3. c)Hyperbola
    4. d)Circle
  2. 2.
    What type of conic section is ?
    1. a)Hyperbola
    2. b)Parabola
    3. c)Circle
    4. d)Ellipse
  3. 3.
    What is the radius of the circle ?
  4. 4.
    What type of conic section is ?
    1. a)Circle
    2. b)Ellipse
    3. c)Parabola
    4. d)Hyperbola
  5. 5.
    What type of conic section is ?
    1. a)Parabola
    2. b)Circle
    3. c)Ellipse
    4. d)Hyperbola
  6. 6.
    For the ellipse , what is the value of the semi-major axis ?
  7. 7.
    Identify the conic section and find its key features:
  8. 8.
    Which direction does the parabola open?
    1. a)Up
    2. b)Left
    3. c)Down
    4. d)Right
  9. 9.
    Identify the conic and determine its orientation:
  10. 10.
    For the ellipse , what is the length of the major axis?
  11. 11.
    How many types of conic sections are there?
    1. a)4
    2. b)3
    3. c)5
    4. d)2
  12. 12.
    Analyze the equation and identify the conic with its radius.
  13. 13.
    A parabola has the equation . If the focus is at where , what is ?
  14. 14.
    Classify and analyze:
  15. 15.
    Which conic section represents the path of a planet orbiting the Sun?
    1. a)Circle
    2. b)Hyperbola
    3. c)Ellipse
    4. d)Parabola
  16. 16.
    How many squared variables does a parabola equation have?
  17. 17.
    Determine if is a circle or ellipse, and find the radius if it's a circle.
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/pre-calculus/conic-sections/intro-conic-sections