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13. Consider the surface x² − 3y² - 9z² = 0. Which of the following is/are correct? (A) The traces in the plane parallel to the yz-plane are ellipses. (B) The vertical trace in the xz-plane is the lines x = 3z and x = -3z. (C) The surface is a hyperboloid of two sheets.

13. Consider the surface x² − 3y² - 9z² = 0. Which of the following is/are correct? (A) The traces in the plane parallel to the yz-plane are ellipses. (B) The vertical trace in the xz-plane is the lines x = 3z and x = -3z. (C) The surface is a hyperboloid of two sheets.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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13. Consider the surface x² − 3y² — 9z² = 0. - Which of the following is/are correct? (A) The traces in the plane parallel to the yz-plane are ellipses. (B) The vertical trace in the xz-plane is the lines x = 32 and x = -3z. (C) The surface is a hyperboloid of two sheets.
Transcribed Image Text:13. Consider the surface x² − 3y² — 9z² = 0. - Which of the following is/are correct? (A) The traces in the plane parallel to the yz-plane are ellipses. (B) The vertical trace in the xz-plane is the lines x = 32 and x = -3z. (C) The surface is a hyperboloid of two sheets.
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