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Complex Numbers question

2025 · Shift 2 · Q29

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PYQ Library
JEE Advanced
Mathematics
Complex Numbers
2025 · Shift 2 · Q29

Complex Numbers question

2025 · Shift 2 · Q29

JEE AdvancedMathematicsComplex NumbersNumerical+4 / −1

For a non-zero complex number

z

, let

\arg (z)

denote the principal argument of

z

, with

-\pi

\alpha=\arg \left(\sum\limits_{n=1}^{2025}(-\omega)^n\right)

Then the value of

\frac{3 \alpha}{\pi}

is

\underline{\hspace{2cm}}$.

Numerical answer

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