jee-main 2021 Q61

jee-main · India · session3_22jul_shift1 Complex Numbers Arithmetic Solving Equations for Unknown Complex Numbers

Let $n$ denote the number of solutions of the equation $z ^ { 2 } + 3 \bar { z } = 0$, where $z$ is a complex number. Then the value of $\sum _ { k = 0 } ^ { \infty } \frac { 1 } { n ^ { k } }$ is equal to
(1) 1
(2) $\frac { 4 } { 3 }$
(3) $\frac { 3 } { 2 }$
(4) 2

Let $n$ denote the number of solutions of the equation $z ^ { 2 } + 3 \bar { z } = 0$, where $z$ is a complex number. Then the value of $\sum _ { k = 0 } ^ { \infty } \frac { 1 } { n ^ { k } }$ is equal to\\
(1) 1\\
(2) $\frac { 4 } { 3 }$\\
(3) $\frac { 3 } { 2 }$\\
(4) 2

Paper Questions

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