Describe the trace of the surface given by the function below $y ^ { 2 } + z ^ { 2 } - x ^ { 2 } = 1$ in the xz-plane.
A)circle
B)parabola
C)line
D)ellipse
E)hyperbola

Name: Describe the trace of the surface given by the function below $y ^ { 2 } + z ^ { 2 } - x ^ { 2 } = 1$ in the xz-plane. A)circle B)parabola C)line D)ellipse E)hyperbola
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Question

Quizplus · Accepted Answer

In the xz-plane, y is set to 0. Substituting y = 0 into the equation gives $z^2 - x^2 = 1$, which is the equation of a hyperbola.

Describe the Trace of the Surface Given by the Function y2+z2−x2=1y ^ { 2 } + z ^ { 2 } - x ^ { 2 } = 1y2+z2−x2=1

Describe the Trace of the Surface Given by the Function $y ^ { 2 } + z ^ { 2 } - x ^ { 2 } = 1$