If z=(3)/2+i/2, i=√(-1), then (z²⁰¹-i)⁸ is equal to

Complex Numbers and Quadratic Equations: JEE Main 2026 Mathematics question

JEE Main 2026 · 23 Jan, Evening shift · Q18

JEE Main 202623 Jan, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

z=\frac{\sqrt3}{2}+\frac{i}{2}

i=\sqrt{-1}

, then

(z^{201}-i)^8

is equal to

JEE Main 2026 · 23 Jan, Evening shift · Q18

JEE Main 202623 Jan, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

z=\frac{\sqrt3}{2}+\frac{i}{2}

i=\sqrt{-1}

, then

(z^{201}-i)^8

is equal to