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AP Intermediate 1st Year Straight Lines and Conic Sections — practice questions — page 2

Explore 50 free Straight Lines and Conic Sections questions in AP Intermediate 1st Year Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Straight Lines and Conic Sections questions and exercises with answers

Showing questions 31–50 of 50.

Knock out the true statementsRead the answer and worked solution →Conic sections bingoRead the answer and worked solution →Conic sections are curves obtained by intersecting a cone with a:Read the answer and worked solution →Which cone is intersected to produce the conic sections?Read the answer and worked solution →Who gave the names parabola and hyperbola?Read the answer and worked solution →A circle is the set of all points in a plane equidistant from a:Read the answer and worked solution →The fixed point of a circle is called its:Read the answer and worked solution →The distance from the centre to a point on the circle is the:Read the answer and worked solution →The point V of a cone is called its:Read the answer and worked solution →The line l of a cone is called its:Read the answer and worked solution →Which four curves are studied as conic sections?Read the answer and worked solution →When the plane is perpendicular to the axis of the cone, the section is a:Read the answer and worked solution →If the plane cuts through both nappes, the curve of intersection is a:Read the answer and worked solution →The kind of conic obtained depends on the plane's position and the angle it makes with the:Read the answer and worked solution →The equation of a circle with centre at h, k and radius r is derived from its:Read the answer and worked solution →The equation of a parabola is simplest when the vertex is at the:Read the answer and worked solution →For the simplest parabola equation, the axis of symmetry lies along which axes?Read the answer and worked solution →Which chord of a parabola has its length computed here?Read the answer and worked solution →Why are these curves called conics?Read the answer and worked solution →The section obtained when a plane meets a cone is called a conic:Read the answer and worked solution →

Worked practice questions

Knock out the true statements

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

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Conic sections bingo

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Clues and terms
  1. Clue
    The two parts the vertex divides a cone into.
    Item
    Nappes
  2. Clue
    Points all at a fixed distance from one fixed point.
    Item
    Circle
  3. Clue
    Points equally far from a fixed line and a fixed point.
    Item
    Parabola
  4. Clue
    Points where the distances to two foci add to a constant.
    Item
    Ellipse
  5. Clue
    Points where those two distances differ by a constant.
    Item
    Hyperbola
  6. Clue
    The fixed line a parabola is measured against.
    Item
    Directrix
  7. Clue
    Ratio of centre to focus against centre to vertex.
    Item
    Eccentricity
  8. Clue
    The axis of a hyperbola that runs through its foci.
    Item
    Transverse
  9. Clue
    Who gave the names parabola and hyperbola.
    Item
    Apollonius
Instructions
Read each clue and tap the term it describes.
_Source: syllabus Mathematics, Ch 10 'Conic Sections'_

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Conic sections are curves obtained by intersecting a cone with a:

  1. A plane
  2. A prism
  3. A pyramid
  4. A pentagon
Show answer and solution

Correct answer: A. A plane

1. A conic is produced by cutting a cone. 2. The cutting surface is flat. 3. Conic sections are the curves obtained by intersecting a right circular cone by a plane. 4. So the answer is a plane. _Source: syllabus Mathematics, Ch 10 'Conic Sections'_

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