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

Question

Quizplus · Accepted Answer

The given equation is in the form $x^2 + \frac{y^2}{a^2} + z^2 = 1$, which is the standard form of an ellipsoid.

Identify the Quadric Surface x2+y24+z2=1x ^ { 2 } + \frac { y ^ { 2 } } { 4 } + z ^ { 2 } = 1x2+4y2​+z2=1

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