JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

z=x+i y

and

w=\frac{1-i z}{z-i}

, then

|w|=1

implies, that, in the complex plane

View answer and explanation

Correct option: B

z

lies on the real axis

Option B (

z

lies on the real axis) is correct because

|w|=1

implies

|z+i|=|z-i|

, which means

z

is equidistant from

i

and

-i

, thus lying on the real axis.

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

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\alpha, \beta

\gamma

|\alpha-\beta|

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