Identify the type of surface represented by the given equation.
-$$\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 3 } - \frac { z ^ { 2 } } { 4 } = 1$$
A) Hyperboloid of two sheets
B) Hyperboloid of one sheet
C) Ellipsoid
D) Elliptical cone

Question

Quizplus · Accepted Answer

The equation is of the form $\frac{x^2}{a^2} - \frac{y^2}{b^2} - \frac{z^2}{c^2} = 1$, which represents a hyperboloid of two sheets.

Identify the Type of Surface Represented by the Given Equation x29−y23−z24=1\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 3 } - \frac { z ^ { 2 } } { 4 } = 19x2​−3y2​−4z2​=1

Identify the Type of Surface Represented by the Given Equation $\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 3 } - \frac { z ^ { 2 } } { 4 } = 1$