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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 46E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62a4f950-0493-44b2-94a7-7a4449e3828a%2F9534287b-f18b-4b59-92c5-ebc65d86b921%2Fcp0rd7wi_processed.png&w=3840&q=75)
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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