jee-main 2025 Q14

jee-main · India · session1_23jan_shift2 Complex Numbers Arithmetic Solving Equations for Unknown Complex Numbers
The number of complex numbers $z$, satisfying $| z | = 1$ and $\left| \frac { z } { \bar { z } } + \frac { \bar { z } } { z } \right| = 1$, is :
(1) 4
(2) 8
(3) 10
(4) 6
The number of complex numbers $z$, satisfying $| z | = 1$ and $\left| \frac { z } { \bar { z } } + \frac { \bar { z } } { z } \right| = 1$, is :\\
(1) 4\\
(2) 8\\
(3) 10\\
(4) 6