Let A = z C : | z+1 z-1 | < 1 and B = z C : ( z-1 z+1 ) = 2 3 . Then A B is :

JEE Main 2022 Mathematics question

Let and . Then A B is :

(1)A portion of a circle centred at (0, ) that lies in the second and third quadrants only
(2)A portion of a circle centred at (0, ) that lies in the second quadrant onlyCorrect
(3)An empty set
(4)A portion of a circle of radius that lies in the third quadrant only

Answer: (2)

|z + 1|/|z − 1| < 1 means z is closer to −1 than to 1, i.e. Re(z) < 0. The condition arg((z − 1)/(z + gives an arc of a circle through −1 and 1 (the

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-025345