Question

A cone is cut by a plane as shown, where the plane is not parallel to the base. The cross-section of the cone and the plane is
A) a circle.
B) an ellipse.
C) a parabola.
Eliminate
D) a hyperbola.

Answer 1

The 2D figure obtained will be an ellipse.
$\huge \mathfrak{Note}$
1) If the plane cutting through the cone
is parallel to its base, then the figure will be a $\textcolor {red}{circle}$.
2) If it is diagonal, it will be an $\textcolor{blue}{ellipse.} $
3)If it is parallel to the generator axis, it will be a $\textcolor{violet}{parabola}.$
4) If it is perpendicular to the base, then the figure is a $\textcolor{cyan}{hyperbola.}$

Hope this helps!