Let a and b be complex numbers where a has a non zero imaginary part. a. Show that S = { (a + t)/(b+t): t is real} makes a circle. What is the center of this circle? What is the radius? b. For what value of t is norm of (a + t)/(b+t) minimized?
Let a and b be complex numbers where a has a non zero imaginary part. a. Show that S = { (a + t)/(b+t): t is real} makes a circle. What is the center of this circle? What is the radius? b. For what value of t is norm of (a + t)/(b+t) minimized?
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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Let a and b be
a. Show that S = { (a + t)/(b+t): t is real} makes a circle. What is the center of this circle? What is the radius?
b. For what value of t is norm of (a + t)/(b+t) minimized?
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