Given:
In the picture shown, the hyperbola is shown and we have to find the best description of how hyperbola is formed.
The vertex is the centre point of the hyperbola where the two cones are joined and these two cones are called nappes.
Clearly, from the figure, the plane passes through the vertex and intersect both the nappes.
Therefore,
The plane passes through the vertex and intersects both the nappes of the right circular cone.
Hence, option B is correct.