alleryThe vertex of a double cone separates it into two parts called
- Directrices
- Generators
- Cone axes
- The nappes
Show answer and solution
Correct answer: D. The nappes
The two parts of the cone on either side of its vertex are called nappes.
CBSE Class 11 (Commerce) Straight Lines and Conic Sections — practice questions — page 3
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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Showing questions 61–90 of 152.
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 →What is the minor axis length of the ellipse 9x² + 4y² = 36?Read the answer and worked solution →The latus rectum of an ellipse with semi-axes a and b has lengthRead the answer and worked solution →
Worked practice questions
The rotating line that sweeps out a double cone is called its
- Vertex
- Axis
- Directrix
- Generator
Show answer and solution
Correct answer: D. Generator
The line m that rotates about the axis to trace the cone is the generator of the cone.
A plane passes through the cone's vertex with alpha < beta <= 90 degrees. The section is
- A single line
- A full circle
- A pair of lines
- A single point
Show answer and solution
Correct answer: D. A single point
A plane through the vertex that is steeper than the generators touches the cone only at the vertex, giving a single point.
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