If $w=\frac{z-(1 / 5) i}{z}$ and $|w|=1$, then complex number $z$ lies on

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

w=\frac{z-(1 / 5) i}{z}

and

|w|=1

, then complex number

z

lies on

View answer and explanation

Correct option: C

a line

Option C (a line) is correct because the condition |w| = 1 leads to an equation that represents a straight line in the complex plane.

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{\left| {1 - i} \right|^x} = {2^x}

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\left|\sum\limits_{r=1}^n z_r\right|

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a \neq 0

\alpha, \beta

\gamma

|\alpha-\beta|

{z^2} + {\left| z \right|^2} = 0,

z \in C

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