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  • If |z1| = |z2|, is it necessary that z1 = z2?

If |z_1| = |z_2|, is it necessary that z_1 = z_2?

Answers (1)

Let  z_1=x_1+iy_1 \: \: and\: \: z_2=x_2+iy_2

|x_1+iy_1 |=|x_2+iy_2 |

= \sqrt{x_1^2+y_1^2} = \sqrt{x_2^2+y_2^2}

x_1^2+y_1^2=x_2^2+y_2^2

\\$Consider $ z_1 = 3 + 4i \\ z_2 = 4 + 3i

z_1\neq z_2  Hence, it is not necessary that  z_1= z_2

 

 

 

Posted by

infoexpert21

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