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Messages - Jingyu Zhang

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Quiz 1 / 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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