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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

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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
Step 1

Given:

           z=l+1

The standard form of the equation of a hyperbola with center h,k and transverse axis parallel to the y-axis is

            y-k2a2-x-h2b2=1

      

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