Review of Conic Sections
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Questions and Answers

What is a parabola?

  • A set of points equidistant from two fixed points
  • A set of points equidistant from a fixed point and a fixed line (correct)
  • A set of points intersecting a sphere
  • A set of points with a constant width

    • Which geometric shape results from intersecting a cone with a plane?

  • Cube
  • Cylinder
  • Sphere
  • Conic section (correct)

    • What is the vertex of a parabola?

  • The directrix
  • The focus
  • The point halfway between the focus and the directrix (correct)
  • The intersection point with the axis

    • What is the line through the focus perpendicular to the directrix called?

    <p>&quot;Axis&quot; of the parabola</p> Signup and view all the answers

    How does the opening direction of a parabola change when its focus and directrix switch positions?

    <p>Changes from downward to upward</p> Signup and view all the answers

    What is the relationship between the distance from a point on a parabola to the focus and that same point’s distance to the directrix?

    <p>The distances are equal</p> Signup and view all the answers

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