Hi, there are two questions a) and b) attached Thanks so Much!!!! 21. Given that z is a complex number satisfying |2z 1 |z - 2|, prove that |z|(a) letting z = x + iy,(b) squaring the equation and then using the result z21 by:= 2z.

Given that z is a complex number satisfying |2z – 1| = |z – 2|. We need to prove that |z| = 1 by two…

Answered: 21. Given that z is a complex number…

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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Hi, there are two questions a) and b) attached

Thanks so Much!!!!

21. Given that z is a complex number satisfying |2z 1 |z - 2|, prove that |z|
(a) letting z = x + iy,
(b) squaring the equation and then using the result z2
1 by:
= 2z.

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21. Given that z is a complex number satisfying |2z 1 |z - 2|, prove that |z| (a) letting z = x + iy, (b) squaring the equation and then using the result z2 1 by: = 2z.