JEE Advanced 2025 Paper 2 Mathematics Q13

Mathematics

Problem

For a non-zero complex number z, let arg(z) denote the principal argument of z, with −π < arg(z) ≤ π. Let ω be the cube root of unity for which 0 < arg(ω) < π. Let α = arg(∑[n=1 to 2025](−ω)ⁿ). Then the value of 3α/π is _______________.

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