Identify the following quadric surface.
A) ellipsoid
B) elliptic cone
C) elliptic paraboloid
D) hyperboloid of one sheet
E) hyperboloid of two sheets

Question

Identify the following quadric surface. 
A) ellipsoid 
B) elliptic cone 
C) elliptic paraboloid 
D) hyperboloid of one sheet 
E) hyperboloid of two sheets

Quizplus · Accepted Answer

The given equation is in the form of a hyperboloid of two sheets: $$\frac{x^2}{a^2}-\frac{y^2}{b^2}-\frac{z^2}{c^2}=1$$ with $a=b=1$ and $c=\sqrt{2}$. Therefore, the answer is E, hyperboloid of two sheets.

Identify the Following Quadric Surface