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CBSE Class 11 (Commerce) Straight Lines and Conic Sections — practice questions — page 2

Explore 152 free Straight Lines and Conic Sections questions in CBSE Class 11 (Commerce) 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 31–60 of 152.

When the plane cuts entirely across one nappe at a slant, the section is an:Read the answer and worked solution →When the plane cuts through both nappes, the section is a:Read the answer and worked solution →When the plane cuts at the vertex, the sections are called:Read the answer and worked solution →A plane through the vertex can give a section that is a single:Read the answer and worked solution →A pair of intersecting straight lines is the degenerate case of a:Read the answer and worked solution →A circle is the set of points in a plane equidistant from a fixed: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 equation of a circle is simplest when its centre is at the:Read the answer and worked solution →A parabola is the set of points equidistant from a fixed line and a fixed:Read the answer and worked solution →The fixed line used to define a parabola is called the:Read the answer and worked solution →An ellipse is the set of points where the sum of two distances is:Read the answer and worked solution →The two fixed points used to define an ellipse are called the:Read the answer and worked solution →The eccentricity of an ellipse is defined as a ratio of two:Read the answer and worked solution →A hyperbola is the set of points where the difference of two distances is:Read the answer and worked solution →The latus rectum of a parabola passes through the:Read the answer and worked solution →The latus rectum of an ellipse is perpendicular to the:Read the answer and worked solution →Match each conic to its definitionRead the answer and worked solution →Sort each cut by the curve it givesRead the answer and worked solution →True or false about conic sectionsRead the answer and worked solution →True conic or degenerate case?Read the answer and worked solution →Fill the gaps on conic sectionsRead the answer and worked solution →Order the cuts as the plane tiltsRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →Pick the right answer, quicklyRead the answer and worked solution →Conic sections are curves formed when a plane cuts which solid?Read the answer and worked solution →A plane cuts one nappe of a cone at 90 degrees to its axis. The section is aRead the answer and worked solution →If alpha < beta < 90 degrees and the plane cuts one nappe, the curve is aRead the answer and worked solution →A plane parallel to a generator of the cone (beta = alpha) gives aRead the answer and worked solution →A plane cutting both nappes of a cone produces which curve?Read the answer and worked solution →

Worked practice questions

When the plane cuts entirely across one nappe at a slant, the section is an:

  1. Envelope
  2. Emblem
  3. Equator
  4. Ellipse
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Correct answer: D. Ellipse

1. The angle lies between alpha and ninety degrees. 2. The curve is closed but not round. 3. It is an ellipse. _Source: syllabus Mathematics, Ch 10 'Conic Sections'_

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When the plane cuts through both nappes, the section is a:

  1. Hyperbola
  2. Hypercube
  3. Hypotenuse
  4. Hypothesis
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Correct answer: A. Hyperbola

1. Two separate branches result. 2. The plane meets both halves of the cone. 3. It is a hyperbola. _Source: syllabus Mathematics, Ch 10 'Conic Sections'_

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When the plane cuts at the vertex, the sections are called:

  1. Demonstrated
  2. Degenerated
  3. Delineated
  4. Deliberated
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Correct answer: B. Degenerated

1. A point or a line can result. 2. These are special limiting cases. 3. They are degenerated conic sections. _Source: syllabus Mathematics, Ch 10 'Conic Sections'_

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