Author Topic: Quiz1-6101 A  (Read 539 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.

shiyuancao

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Re: Quiz1-6101 A
« Reply #1 on: September 24, 2020, 04:19:59 PM »
Hi, there might be a typo in second line of your answer.


Jiaqi Bi

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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 $|x+iy-1|$
« Last Edit: December 20, 2020, 01:10:19 PM by Jiaqi Bi »