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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

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

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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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
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