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Mathematics · 2015
JEE Main 2015 · 2015-04-04 Offline · Q62
A complex number z is said to be unimodular if |z|=1. Suppose z_1 and z_2 are complex numbers such that (z_1-2 z_2)/(2-z_1 z̄_2) is unimodular and…
A complex number $\displaystyle z$ is said to be unimodular if $\displaystyle |z|=1$. Suppose $\displaystyle z_1$ and $\displaystyle z_2$ are complex numbers such that $\displaystyle \frac{z_1-2 z_2}{2-z_1 \bar{z}_2}$ is unimodular and $\displaystyle z_2$ is not unimodular. Then the point $\displaystyle z_1$ lies on a :
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(3)
circle of radius 2.
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