If four points be taken on a rectangular hyperbola such that the chord joining any two is perpendicular to the chord joining the other two and a, B, Y, 8 are the inclinations of the straight lines joining these points to the centre. prove that tan a tan ß tan y tan 8 =1.
If four points be taken on a rectangular hyperbola such that the chord joining any two is perpendicular to the chord joining the other two and a, B, Y, 8 are the inclinations of the straight lines joining these points to the centre. prove that tan a tan ß tan y tan 8 =1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 25E
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