State the type of the quadratic surface: æ² + () + 2? = 1 1. Hyperboloid of two sheets 2. Hyperboloid of one sheet 3. Ellipsoid 4. None of these Describe the trace obtained by intersecting with the plane y = 0: 1. Ellipse 2. Hyperbola 3. Circle 4. Empty set

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 30E
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State the type of the quadratic surface:
2
+ Oʻ + z2 = 1
1. Hyperboloid of two sheets
2. Hyperboloid of one sheet
3. Ellipsoid
4. None of these
Describe the trace obtained by intersecting with the plane y = 0:
1. Ellipse
2. Hyperbola
3. Circle
4. Empty set
Transcribed Image Text:State the type of the quadratic surface: 2 + Oʻ + z2 = 1 1. Hyperboloid of two sheets 2. Hyperboloid of one sheet 3. Ellipsoid 4. None of these Describe the trace obtained by intersecting with the plane y = 0: 1. Ellipse 2. Hyperbola 3. Circle 4. Empty set
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