2) a) Write the following curves in parametric way z(+) = x(#)+iy(t). i) z ž + i (z - Ž)-2=0 is) Im (4) = ½ b) Prove that Imz=0, largz - #1 = 1, 2-2 =0, 12-il = 1Z+il are different equations all describing the real (x) axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 31E
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Questions: 2 part a question I 2 part b Handwritten clearly and cannot stress this enough, not typed, I need visualise the method, many thanks.
2) a) Write the following curves in parametric way z(+) = x(#)+iy(t).
i) z ž + i (z - Ž)-2=0
is) Im (4) = ½
b) Prove that Imz=0, largz - #1 = 1, 2-2 =0, 12-il = 1Z+il
are different equations all describing the real (x) axis.
Transcribed Image Text:2) a) Write the following curves in parametric way z(+) = x(#)+iy(t). i) z ž + i (z - Ž)-2=0 is) Im (4) = ½ b) Prove that Imz=0, largz - #1 = 1, 2-2 =0, 12-il = 1Z+il are different equations all describing the real (x) axis.
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