The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. what is the shape of the cross section formed?

The cross-section that is obtained by this slicing is:

Hyperbola.

Step-by-step explanation:

If a double cone is intersected by a vertical plane passing through the point where the tips of the cones meet then the shape of the cross-section that is obtained by this slicing will be a hyperbola.

( Since the plane cuts both the sections of the cone and hence we will get a curve on both the cones opening in the opposite direction and hence such a figure that is obtained is called a hyperbola)

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.