Let S=: z²+4z+16=0. Then Σ z S |z+ 3 i|² is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2026 Mathematics question

JEE Main 2026 · 4 Apr, Evening shift · Q2

JEE Main 20264 Apr, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let

S=\{z\in\mathbb{C}: z^2+4z+16=0\}

. Then

\sum_{z\in S}|z+\sqrt3\,i|^2

is equal to:

JEE Main 2026 · 4 Apr, Evening shift · Q2

JEE Main 20264 Apr, Evening shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let

S=\{z\in\mathbb{C}: z^2+4z+16=0\}

. Then

\sum_{z\in S}|z+\sqrt3\,i|^2

is equal to: