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

Question

Quizplus · Accepted Answer

The given equation represents a hyperboloid of one sheet because it has two squared terms with the same sign and one squared term with the opposite sign, and it equals 1.

Identify the Type of Surface Represented by the Given Equation x29+y24−z29=1\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } - \frac { z ^ { 2 } } { 9 } = 19x2​+4y2​−9z2​=1

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