Identify the quadratic surface defined by .
A) Ellipsoid
B) Hyperboloid of two sheets
C) Hyperboloid of one sheet
D) Hyperbolic paraboloid
E) Sphere

Question

Identify the quadratic surface defined by  .
A) Ellipsoid 
B) Hyperboloid of two sheets 
C) Hyperboloid of one sheet 
D) Hyperbolic paraboloid 
E) Sphere

Quizplus · Accepted Answer

The equation 11ead0bc_8e1b_3cc9_99a0_798a22930b84_TB6988_11 is of the form:
(ax^2/a^2) + (by^2/b^2) - (cz^2/c^2) = 1
where a, b, and c are constants.
This is the equation of a hyperboloid of one sheet, which is a surface that looks like a saddle.

Identify the Quadratic Surface Defined by