If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex, what shape is produced?

Answer:If a right circular cone is intersected by a plane that goes through both napes of the cone but not through the vertex then the shape that is formed by this intersection is:                           Hyperbola.Step-by-step explanation:We know when  a plane cuts just one nape of the cone then either a ellipse or a parabola or circle is formed depending on the angle that plane forms.And when it passes through both the nape then a hyperbola is obtained.       Hence, the answer is Hyperbola.