The tangents to the rectangular hyperbola xy = c² and the parabola y = 4ax at their point of intersections are inclined at angles a and B, respectively, to the x-axis. Show that tan a +2 tan B = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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The tangents to the rectangular hyperbola xy = c² and the parabola y = 4ax
at their point of intersections are inclined at angles a and B, respectively, to
the x-axis. Show that tan a +2 tan B = 0.
%3D
Transcribed Image Text:The tangents to the rectangular hyperbola xy = c² and the parabola y = 4ax at their point of intersections are inclined at angles a and B, respectively, to the x-axis. Show that tan a +2 tan B = 0. %3D
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