jee-main 2025 Q62

jee-main · India · session2_02apr_shift1 Complex numbers 2 Conjugate and Modulus Equation Problems
Q62. Let $\alpha$ and $\beta$ be the sum and the product of all the non-zero solutions of the equation $( \bar { z } ) ^ { 2 } + | z | = 0 , z \in \mathrm { C }$. Then $4 \left( \alpha ^ { 2 } + \beta ^ { 2 } \right)$ is equal to :
(1) 6
(2) 8
(3) 2
(4) 4
Q62. Let $\alpha$ and $\beta$ be the sum and the product of all the non-zero solutions of the equation $( \bar { z } ) ^ { 2 } + | z | = 0 , z \in \mathrm { C }$. Then $4 \left( \alpha ^ { 2 } + \beta ^ { 2 } \right)$ is equal to :\\
(1) 6\\
(2) 8\\
(3) 2\\
(4) 4