A complex number is represented by the point X in the Argand diagram. It is given that |z – 6 – 4i| = 4. %3| (i) Sketch the locus of X. Express the Cartesian equation of this locus. (iii) Express the maximum value of arg z in the interval [-n, T].
A complex number is represented by the point X in the Argand diagram. It is given that |z – 6 – 4i| = 4. %3| (i) Sketch the locus of X. Express the Cartesian equation of this locus. (iii) Express the maximum value of arg z in the interval [-n, T].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A complex number is represented by the point X in the Argand diagram. It is
given that |z – 6 – 4i| = 4.
(i)
Sketch the locus of X.
(ii)
Express the Cartesian equation of this locus.
(iii)
Express the maximum value of arg z in the interval [-n, 1].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49579436-550f-41e7-9ec2-e74476ae317b%2F7800ef6f-8f65-485e-8664-5e663799a228%2F815bhna_processed.png&w=3840&q=75)
Transcribed Image Text:A complex number is represented by the point X in the Argand diagram. It is
given that |z – 6 – 4i| = 4.
(i)
Sketch the locus of X.
(ii)
Express the Cartesian equation of this locus.
(iii)
Express the maximum value of arg z in the interval [-n, 1].
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