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.
