Question

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 !!!

Answer 1

Option a) Hyperbola

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.