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Knock out the true statements

Exercise and reference answers

Questions
  1. Question
    Eliminate the true statements about conics.
    Choices
    1. Item
      A parabola cuts across both nappes
      Correct
      Yes
    2. Explanation
      That intersection is what defines a conic section.
      Item
      A conic is a plane cutting a cone
    3. Explanation
      The sum of the distances to the two foci is constant.
      Item
      An ellipse keeps the sum fixed
    4. Explanation
      The two parts either side of the vertex are the nappes.
      Item
      The vertex divides a cone into two nappes
Instructions
Remove the statements that are true. One false one should survive.

Explanation

_Source: syllabus Mathematics, Ch 10 'Conic Sections'_
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