Let Z₁, Z2, Z3 be the complex numbers such that Z3 - Z1 |Z₁-1|=|2₂-1| = |z3 − 1| and arg Z2 - Z1 then z₂(Z₂-1) -Z3(Z₂ + 1) + (Z3 + 1) (z₂− 1) = (A) 0 (C) 2 (B) 1 (D) −2 = π 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let Z₁, Z2, Z3 be the complex numbers such that
|Z₁-1|=|2₂-1| = |z3 − 1| and arg
Z3
(²21-21)-7
Z2
then z₂(Z₂-1) -Z3(Z₂ + 1) + (Z3 + 1) (z − 1) =
(A) 0
(C) 2
(B) 1
(D) −2
=
6
Transcribed Image Text:Let Z₁, Z2, Z3 be the complex numbers such that |Z₁-1|=|2₂-1| = |z3 − 1| and arg Z3 (²21-21)-7 Z2 then z₂(Z₂-1) -Z3(Z₂ + 1) + (Z3 + 1) (z − 1) = (A) 0 (C) 2 (B) 1 (D) −2 = 6
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