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CBSE Class 11 (Commerce) Conic Sections — practice questions — page 3

Explore 100 free 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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Conic Sections questions and exercises with answers

Showing questions 61–90 of 100.

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 →The vertex of a double cone separates it into two parts calledRead the answer and worked solution →The rotating line that sweeps out a double cone is called itsRead the answer and worked solution →A plane passes through the cone's vertex with alpha < beta <= 90 degrees. The section isRead the answer and worked solution →A plane through the vertex contains a generator of the cone. The section isRead the answer and worked solution →Which degenerate section is the degenerate case of a hyperbola?Read the answer and worked solution →Which equation gives a circle with centre (h, k) and radius r?Read the answer and worked solution →The circle x² + y² + 8x + 10y - 8 = 0 has which centre and radius?Read the answer and worked solution →If the fixed point lies on the fixed line, the equal-distance locus isRead the answer and worked solution →The axis of a parabola is the line through the focus that isRead the answer and worked solution →The point where a parabola meets its axis is called theRead the answer and worked solution →For the parabola y² = 4ax with a > 0, the focus is atRead the answer and worked solution →The directrix of the parabola y² = 4ax with a > 0 is the lineRead the answer and worked solution →The latus rectum of the parabola y² = 4ax has lengthRead the answer and worked solution →The parabola y² = 8x has its focus at which point?Read the answer and worked solution →What is the latus rectum length for the parabola y² = 8x?Read the answer and worked solution →Which parabola has focus (2, 0) and directrix x = -2?Read the answer and worked solution →Which parabola has vertex (0, 0) and focus (0, 2)?Read the answer and worked solution →A parabola y² = 4ax has a latus rectum of length 12. What is a?Read the answer and worked solution →An ellipse is the set of points whose distances from two fixed points have a constantRead the answer and worked solution →The mid point of the segment joining the foci of an ellipse is itsRead the answer and worked solution →The segment of an ellipse passing through both foci is called theRead the answer and worked solution →The segment through the centre perpendicular to the major axis is theRead the answer and worked solution →The end points of the major axis of an ellipse are called itsRead the answer and worked solution →In standard notation, the minor axis of an ellipse has lengthRead the answer and worked solution →In standard notation, the distance between the two foci of an ellipse isRead the answer and worked solution →For an ellipse with semi-axes a and b and focal distance c, which relation holds?Read the answer and worked solution →If an ellipse has eccentricity e and semi-major axis a, each focus is how far from the centre?Read the answer and worked solution →Where are the foci of the ellipse x²/25 + y²/9 = 1?Read the answer and worked solution →

Worked practice questions

A plane parallel to a generator of the cone (beta = alpha) gives a

  1. Circle
  2. Parabola
  3. Hyperbola
  4. Ellipse
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Correct answer: B. Parabola

Making the plane parallel to a generator, so beta equals alpha, yields the open curve called a parabola.

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A plane cutting both nappes of a cone produces which curve?

  1. Ellipse
  2. Hyperbola
  3. Circle
  4. Parabola
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Correct answer: B. Hyperbola

Only the hyperbola has two branches, one on each nappe, because the plane cuts through both nappes.

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The vertex of a double cone separates it into two parts called

  1. Directrices
  2. Generators
  3. Cone axes
  4. The nappes
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Correct answer: D. The nappes

The two parts of the cone on either side of its vertex are called nappes.

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