If the tangent and the normal to a rectangular hyperbola cut off intercepts x₁ and x2 on one axis and y₁ and y2 on the Other axis, then (1) x₁y₁+x₂y₂ = 0 [3) x₁x₂+y₁y₂ = 0 (2) (4) x₁y₂ + x₂y₁ = 0 None of these

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 24E
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If the tangent and the normal to a rectangular hyperbola cut off intercepts x₁ and x2 on one axis and y₁ and y2 on the
other axis, then
(1) x₁y₁+x₂y₂ = 0
(3) X₁x2+y₁y2 = 0
(2)
(4)
x₁y₂ + x₂y₁ = 0
None of these
Transcribed Image Text:If the tangent and the normal to a rectangular hyperbola cut off intercepts x₁ and x2 on one axis and y₁ and y2 on the other axis, then (1) x₁y₁+x₂y₂ = 0 (3) X₁x2+y₁y2 = 0 (2) (4) x₁y₂ + x₂y₁ = 0 None of these
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