<span>When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola. The standard form of the equation of the hyperbola is shown below: [(x-h)^2/a^2]-[(y-k)^2/b^2]=1 (Horizontal axis) </span>[(y-k)^2/a^2]-[(x-h)^2/b^2]=1 (Vertical axis)<span> Therefore, the answer is: Hyperbola. </span>