Let A = {z ∈ C | (z+1)/(z−1)..... | JEE Main 2022

JEE MAIN 2022

26-06-2022_S1

Question

Let: $A=\left\{z \in C:\left|\frac{z+1}{z-1}<1\right|\right\}$ and $B=\left\{z \in C: \arg \left(\frac{z-1}{z+1}\right)=\frac{2 \pi}{3}\right\}$ Then $A \cap B$ is:

Select the correct option:

a portion of a circle centred at $\left(0,-\frac{1}{\sqrt{3}}\right)$ that lies in the second and third quadrants only

a portion of a circle centred at $\left(0,-\frac{1}{\sqrt{3}}\right)$ that lies in the second quadrant only

an empty set

a portion of a circle of radius $\frac{2}{\sqrt{3}}$ that lies in the third quadrant only

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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