38. Calculate the direction conjugated to (1.-2,0) relative to the conic section x² + 2xy-y²-4xz+2yz-2 z² = 0.
38. Calculate the direction conjugated to (1.-2,0) relative to the conic section x² + 2xy-y²-4xz+2yz-2 z² = 0.
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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Transcribed Image Text:Ans. r = -1
38. Calculate the direction conjugated to (1.-2.0) relative to the conic section x² + 2xy-y²-4xz+2yz -2 z²
= 0.
Ans. (1,-2,0) and (1,1/3,0)
39. Calculate the center-line conjugated to the center-line 4x-2y+z=0 relative to the conic section x² + 2x
y-y²-4xz+2yz-2 z²=0.
Ans. (1,2,0).
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