Describe the set of points in 3-space satisfying xy = 1 and z = x + y.
A) two straight lines
B) one straight line
C) an ellipse
D) a parabola
E) a hyperbola
F) none of the above

Question

Quizplus · Accepted Answer

The equation xy = 1 represents a hyperbola in the xy-plane. When combined with z = x + y, the set of points in 3-space forms a hyperbolic cylinder, which is a 3D extension of a hyperbola.

Describe the Set of Points in 3-Space Satisfying Xy =