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KCET Conic Sections — practice questions — page 4

Explore 104 free Conic Sections questions in KCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Conic Sections questions and exercises with answers

Showing questions 91–104 of 104.

Which section does the plane cutRead the answer and worked solution →Proper or degenerateRead the answer and worked solution →Sum, difference or equalRead the answer and worked solution →Type the conic termRead the answer and worked solution →Pop the conic sectionsRead the answer and worked solution →One word is wrongRead the answer and worked solution →Order by the tilt of the planeRead the answer and worked solution →Ellipse and hyperbolaRead the answer and worked solution →Which one does not belongRead the answer and worked solution →Sum or differenceRead the answer and worked solution →Spot the false statementRead the answer and worked solution →Which ones belongRead the answer and worked solution →Knock out the true statementsRead the answer and worked solution →Conic sections bingoRead the answer and worked solution →

Worked practice questions

Which section does the plane cut

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Items
  1. Item
    Plane at 90 deg
    Category
    Circle
  2. Item
    Square to the axis
    Category
    Circle
  3. Item
    Tilted past alpha
    Category
    Ellipse
  4. Item
    Beta between them
    Category
    Ellipse
  5. Item
    Beta equals alpha
    Category
    Parabola
  6. Item
    Cuts both nappes
    Category
    Hyperbola
Categories
  1. Item
    Circle
  2. Item
    Ellipse
  3. Item
    Parabola
  4. Item
    Hyperbola
Instructions
Tap each plane angle into the curve it produces.
_Source: syllabus Mathematics, Ch 10 'Conic Sections'_

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Proper or degenerate

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Categories
  1. Proper
  2. Degenerate
Questions
  1. Answer
    Proper
    Question
    Plane misses the vertex
  2. Answer
    Degenerate
    Question
    Plane cuts at the vertex
  3. Answer
    Degenerate
    Question
    The section is a point
  4. Answer
    Proper
    Question
    The section is a circle
  5. Answer
    Degenerate
    Question
    A single straight line
  6. Answer
    Degenerate
    Question
    Two crossing lines
  7. Answer
    Proper
    Question
    A full ellipse
Instructions
Pull each case towards the kind of section it gives.
_Source: syllabus Mathematics, Ch 10 'Conic Sections'_

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Sum, difference or equal

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Items
  1. Category
    Ellipse
    Item
    Sum of distances
  2. Category
    Ellipse
    Item
    Two foci, added
  3. Category
    Hyperbola
    Item
    Their difference
  4. Category
    Hyperbola
    Item
    Two foci, gap
  5. Category
    Parabola
    Item
    Line and a point
  6. Category
    Parabola
    Item
    Equal distances
Categories
  1. Ellipse
  2. Hyperbola
  3. Parabola
Instructions
Send each definition down the chute of the curve it defines.
_Source: syllabus Mathematics, Ch 10 'Conic Sections'_

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