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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.10: Inverse Variation
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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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