SOLUTION: If z1 and z2 are two complex numbers with |z1|=|z2| ,then which of the following are true. 1. Z1=z2 2 real part of z1=real part of z2 3.imaginary part of z1=imaginary part of z2

Question 1074759: If z1 and z2 are two complex numbers with |z1|=|z2| ,then which of the following are true.
1. Z1=z2
2 real part of z1=real part of z2
3.imaginary part of z1=imaginary part of z2
Found 2 solutions by Edwin McCravy, Fombitz:
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

None of those choices are correct. Here is a counter-example: , , , , , So is true. However, they are not equal, their real parts are not equal, and their imaginary parts are not equal. So none of those choices are true. Be sure to point this out to your teacher. Edwin

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
If and and

Then,

...
..
.
1. and , not necessarily
2. , not necessarily
3. , not necessarily
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