jee-main 2023 Q62

jee-main · India · session2_13apr_shift2 Complex numbers 2 Conjugate and Modulus Equation Problems
Let $S = \{ z \in \mathbb { C } : \bar { z } = i z ^ { 2 } + \operatorname { Re } ( \bar { z } ) \}$. Then $\sum _ { z \in S } | z | ^ { 2 }$ is equal to
(1) $\frac { 5 } { 2 }$
(2) 4
(3) $\frac { 7 } { 2 }$
(4) 3
Let $S = \{ z \in \mathbb { C } : \bar { z } = i z ^ { 2 } + \operatorname { Re } ( \bar { z } ) \}$. Then $\sum _ { z \in S } | z | ^ { 2 }$ is equal to\\
(1) $\frac { 5 } { 2 }$\\
(2) 4\\
(3) $\frac { 7 } { 2 }$\\
(4) 3