Identify the quadric surface. $\frac { x ^ { 2 } } { 4 } + y ^ { 2 } - z ^ { 2 } = 1$
A)The graph is an elliptic paraboloid.
B)The graph is an elliptic cone.
C)The graph is a hyperboloid of two sheet.
D)The graph is hyperboloid of one sheet.
E)The graph is an ellipsoid.

Question

Quizplus · Accepted Answer

The given equation $\frac { x ^ { 2 } } { 4 } + y ^ { 2 } - z ^ { 2 } = 1$ 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 a positive constant.

Identify the Quadric Surface x24+y2−z2=1\frac { x ^ { 2 } } { 4 } + y ^ { 2 } - z ^ { 2 } = 14x2​+y2−z2=1

Identify the Quadric Surface $\frac { x ^ { 2 } } { 4 } + y ^ { 2 } - z ^ { 2 } = 1$