If $z$ lies on the circle $\left| {z - 1} \right| = 1,$ $\frac{{z - 2}}{z}$ is

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

z

lies on the circle

\left| {z - 1} \right| = 1,

\frac{{z - 2}}{z}

View answer and explanation

Correct option: B

Purely imaginary

Option B (Purely imaginary) is correct because the expression

\frac{z-2}{z}

simplifies to

i \tan(\frac{\theta}{2})

, which is purely imaginary.

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\gamma

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