Mathematics · 2022
JEE Main · 26 June 2022, Shift 1 · Q2
Let A ={z ∈ C:|(z+1)/(z-1)|<1} and B ={z ∈ C: ((z-1)/(z+1))=(2 π)/3}. Then A ∩ B is:
Let $\displaystyle \mathrm{A}=\left\{z \in \mathrm{C}:\left|\frac{z+1}{z-1}\right|<1\right\}$
and $\displaystyle \mathrm{B}=\left\{z \in \mathrm{C}: \arg \left(\frac{z-1}{z+1}\right)=\frac{2 \pi}{3}\right\}$.
Then $\displaystyle \mathrm{A} \cap \mathrm{B}$ is :
Official answer
(2)
a portion of a circle centred at $\displaystyle \left(0,-\frac{1}{\sqrt{3}}\right)$ that lies in the second quadrant only
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.