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What conic section is produced when both nappes of a right circular cone are
intersected by a plane that does not pass through the vertex of the cone?
A. Hyperbola
B. Parabola
C. Circle
D.Eclipse
Please help now !!!

Respuesta :

Answer:

Option a) Hyperbola

Step-by-step explanation:

  • Conic sections are generated by intersection of plane with a cone.
  • Various types of conic sections are obtained when a plane intersect with cone in different manners.
  • Different possible conic sections are parabola, ellipse, hyperbola, circle.
  • If a plane intersect cone in such a way that plane passes through both the nappes of the cone and does not pass through the vertex of the cone.
  • If this plane is parallel to y-axis then, the resultant conic section is hyperbola.
  • Thus, option a) is the correct answer.

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