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If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square of the other, then prove that ab (a + b) = -2h.

If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square of the other, then prove that ab (a + b) = -2h.

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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If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square of the other, then prove that ab (a + b) = -2h.
Transcribed Image Text:If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square of the other, then prove that ab (a + b) = -2h.
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