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
now !

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.