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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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3.2. Describe the following loci or regions:
(a). [z – zo| = |z – Zol, where Im zo # 0,
(b). |z – 20] = |z + Zol, where Re zo # 0,
(c). |z – zol = |z – z1|, where zo + %1;
(d). [z – 1| = 1,
(e). |2 – 2| = 2|2 – 2i|,
Z - 20
(f).
Z - 21
= c, where zo # z1 and c + 1,
(g). 0 < Im z < 27,
Re z
(h).
|z – |
(i). |z – 21|+ |2 – z2| = 2a,
> 1, Im z < 3,
(j). azz + kz + kz + d = 0, k e C, a, d e R, and |k|² > ad.
Transcribed Image Text:3.2. Describe the following loci or regions: (a). [z – zo| = |z – Zol, where Im zo # 0, (b). |z – 20] = |z + Zol, where Re zo # 0, (c). |z – zol = |z – z1|, where zo + %1; (d). [z – 1| = 1, (e). |2 – 2| = 2|2 – 2i|, Z - 20 (f). Z - 21 = c, where zo # z1 and c + 1, (g). 0 < Im z < 27, Re z (h). |z – | (i). |z – 21|+ |2 – z2| = 2a, > 1, Im z < 3, (j). azz + kz + kz + d = 0, k e C, a, d e R, and |k|² > ad.
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