Which of the following is True? (1) x² - 4y2 - 9z²+36 = 0. is an equation of a Hyperboloid of Two Sheets (11) x² = 2 - y²-z² is an equation of a sphere. (III) z = √(1-x² - y2 is an equation of a Circular Cone (IV) z = y² is an equation of a paraboloid (V) x1 is a an equation of a straight line in three - space. (VI) x -2y = 12 is an equation of a plane in three - space (IV) & (V) (I), (IV) and (V) (III) & (V) (1) & (III) (11) & (VI) ○ (1) & (V) Only (V) All are True

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 33E
icon
Related questions
Question
Which of the following is True?
(1) x² - 4y² - 9z²+36 = 0. is an equation of a Hyperboloid of Two Sheets
(II) x² = 2-y²-z² is an equation of a sphere.
(III) z = √√1-x² - y² is an equation of a Circular Cone
(IV) z = y² is an equation of a paraboloid
(V) x1 is a an equation of a straight line in three - space.
(VI) x -2y = 12 is an equation of a plane in three-space
O(IV) & (V)
(I), (IV) and (V)
(III) & (V)
(1) & (III)
(II) & (VI)
(1) & (V)
Only (V)
All are True
Transcribed Image Text:Which of the following is True? (1) x² - 4y² - 9z²+36 = 0. is an equation of a Hyperboloid of Two Sheets (II) x² = 2-y²-z² is an equation of a sphere. (III) z = √√1-x² - y² is an equation of a Circular Cone (IV) z = y² is an equation of a paraboloid (V) x1 is a an equation of a straight line in three - space. (VI) x -2y = 12 is an equation of a plane in three-space O(IV) & (V) (I), (IV) and (V) (III) & (V) (1) & (III) (II) & (VI) (1) & (V) Only (V) All are True
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning