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MAT334--2020F
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MAT334--Tests and Quizzes
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Quiz 1
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Quiz1-6101 A
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Topic: Quiz1-6101 A (Read 5331 times)
Jingyu Zhang
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Quiz1-6101 A
«
on:
September 24, 2020, 01:22:36 PM »
Question: Describe the locus of points z satisfying the given equation:
|z-i|=Re z
Ans:
for z = x+ iy
|x+iy-1|=Re(x+iy)
|x+i(y-1)|=x
x^2+(y-1)^2=x^2
(y-1)^2=0
y= 1
Therefore, the locus is a horizontal line.
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shiyuancao
Jr. Member
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Re: Quiz1-6101 A
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Reply #1 on:
September 24, 2020, 04:19:59 PM »
Hi, there might be a typo in second line of your answer.
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Jiaqi Bi
Jr. Member
Posts: 11
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Re: Quiz1-6101 A
«
Reply #2 on:
December 20, 2020, 01:08:17 PM »
The second line of the answer, left part of your equation should be $|x+iy-i|$ instead of $|x+iy-1|$
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Last Edit: December 20, 2020, 01:10:19 PM by Jiaqi Bi
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Toronto Math Forum
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MAT334--2020F
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Quiz1-6101 A