Give ONE example of a plane P that is parallel to one of the coordinate planes (the ry-, xz- or yz-plane) and is such that the trace of the hyperboloid of two sheets - - = 1 in P is an ellipse. 22 8 (Give only the equation of such a plane.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 55E
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Give ONE example of a plane P that is parallel to one of the coordinate planes
(the ry-, rz- or yz-plane) and is such that the trace of the hyperboloid of two
sheets
2- = 1 in P is an ellipse.
4
3
(Give only the equation of such a plane.)
Transcribed Image Text:Give ONE example of a plane P that is parallel to one of the coordinate planes (the ry-, rz- or yz-plane) and is such that the trace of the hyperboloid of two sheets 2- = 1 in P is an ellipse. 4 3 (Give only the equation of such a plane.)
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