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Complex Numbers question

2022 · 27 Jul · Shift 1 · Q46

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2022 · 27 Jul · Shift 1 · Q46

Complex Numbers question

2022 · 27 Jul · Shift 1 · Q46

JEE MainMathematicsComplex NumbersNumerical+4 / −1

Let

S=\left\{z \in \mathbb{C}: z^{2}+\bar{z}=0\right\}

. Then

\sum\limits_{z \in S}(\operatorname{Re}(z)+\operatorname{Im}(z))

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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