Let z and zo be two complex numbers. It is given that |z| = 1 andthe numbers z, zo, zzo, 1, and 0 are represented in an Arganddiagram by the points P, Po, Q, A, and the origin, respectively.Show that the triangles POP, and AOQ are congruent. Hence,or otherwise, prove that |z-zol = |zzo - 11.

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Answered: Let z and zo be two complex numbers. It…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Let z and zo be two complex numbers. It is given that |z| = 1 and the numbers z, zo, zzo, 1, and 0 are represented in an Argano diagram by the points P, Po, Q, A, and the origin, respectively Show that the triangles POP, and AOQ are congruent. Hence or otherwise, prove that |z-zol = |zzo - 11. 0