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Suppose we have a quadric surface described by 1 (r, y, z) | 1 1 = 7. 1 -4 Using canonical coordinates, which of the following describes the same surface? au? + Bu² + yw² = 7, where a, 6 and y are the three roots of 3z + z- 4z = 0. au? + Bv? + yw² = 49, where a, 3 and y are the three roots of 3z2 + z-4 = 0. None of these is correct au? + Bu² + yw² = --7, where a = 3, 3 = 1 and y = -4. au + 3v2 +yw² = 7, where a, 3 and y are the three roots of z- 15z + 9 = 0. 3 1 Lau + 30 + =r u = 0, where a, 3 and 7 are the eigenvalues of 1. 1

Suppose we have a quadric surface described by 1 (r, y, z) | 1 1 = 7. 1 -4 Using canonical coordinates, which of the following describes the same surface? au? + Bu² + yw² = 7, where a, 6 and y are the three roots of 3z + z- 4z = 0. au? + Bv? + yw² = 49, where a, 3 and y are the three roots of 3z2 + z-4 = 0. None of these is correct au? + Bu² + yw² = --7, where a = 3, 3 = 1 and y = -4. au + 3v2 +yw² = 7, where a, 3 and y are the three roots of z- 15z + 9 = 0. 3 1 Lau + 30 + =r u = 0, where a, 3 and 7 are the eigenvalues of 1. 1

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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Suppose we have a quadric surface described by 1 (r, y, z) | 1 1 0 1 =7. -4 Using canonical coordinates, which of the following describes the same surface? au? + Bu + yw² = 7, where a, 6 and y are the three roots of 3z + z- 4z = 0. au? + Bu? + yw² = 49, where a, 3 and y are the three roots of 3z2 + z -4 = 0. None of these is correct au? + Bu² + yw² = --7, where a = 3, 3 = 1 and y = -4. au + 3v2 +yw² = 7, where a, 3 and y are the three roots of z- 15z + 9 = 0. 3 1 Lau + d0 + =r u = 0, where a, 3 and 7 are the eigenvalues of 1. 1
Transcribed Image Text:Suppose we have a quadric surface described by 1 (r, y, z) | 1 1 0 1 =7. -4 Using canonical coordinates, which of the following describes the same surface? au? + Bu + yw² = 7, where a, 6 and y are the three roots of 3z + z- 4z = 0. au? + Bu? + yw² = 49, where a, 3 and y are the three roots of 3z2 + z -4 = 0. None of these is correct au? + Bu² + yw² = --7, where a = 3, 3 = 1 and y = -4. au + 3v2 +yw² = 7, where a, 3 and y are the three roots of z- 15z + 9 = 0. 3 1 Lau + d0 + =r u = 0, where a, 3 and 7 are the eigenvalues of 1. 1
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