Z₁ Z₂ are two points in an Argand plane. If a Z₁ = b|Z₂l, ther # prove that az₁-bZ₂ aZ₁ +bZ₂ is purely imaginary.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 35E
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Z₁ Z₂ are two points in an Argand plane. If a|Z₁ = b|Z₂l, then
prove that
az₁-bZ₂
aZ₁ +bZ₂
is purely imaginary.
Transcribed Image Text:Z₁ Z₂ are two points in an Argand plane. If a|Z₁ = b|Z₂l, then prove that az₁-bZ₂ aZ₁ +bZ₂ is purely imaginary.
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