Let z₁ = 10 + 6i and z₂ = 4 + 6i. Then prove that all the Z- Z1 T complex numbers satisfying arg = also satisfy z-Z2 4 |z-7-9i=3√2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 14E
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Let z₁ = 10 + 6i and z₂ = 4 + 6i. Then prove that all the
π
complex numbers satisfying arg (2)
4
|z-7-9i|=3√2.
also satisfy
Transcribed Image Text:Let z₁ = 10 + 6i and z₂ = 4 + 6i. Then prove that all the π complex numbers satisfying arg (2) 4 |z-7-9i|=3√2. also satisfy
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