If h, k,1, a, b € R+ . Of the quadric surfaces whose equations are shown below, which one generates a hyperbola as a trace when intersecting it with the plane z = l+ 1? (x – h)² , (y – k)² A) z -1 = a? B) y – k = a? (エ-h(2- 1° 62 (y – k)² (r – h)² C) z -1= 62 a? (2-° (エ-h)° D) y – k= a²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 27E
icon
Related questions
Question

17. Answer the question shown in the picture

If
h, k, 1, a, b e R+
Of the quadric surfaces whose equations are shown below,
which one generates a hyperbola as a trace when intersecting it with the plane
z = l+ 1?
|
(r – h)² , (y – k)²
A) z -1 =
a?
62
(x – h)² _ (z – 1)²
B) y – k =
a?
62
(y – k)_ (x – h)²
C) z -1=
62
a?
(z – 1)? (x – h)²
D) y – k =
62
a2
Transcribed Image Text:If h, k, 1, a, b e R+ Of the quadric surfaces whose equations are shown below, which one generates a hyperbola as a trace when intersecting it with the plane z = l+ 1? | (r – h)² , (y – k)² A) z -1 = a? 62 (x – h)² _ (z – 1)² B) y – k = a? 62 (y – k)_ (x – h)² C) z -1= 62 a? (z – 1)? (x – h)² D) y – k = 62 a2
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,