Mathematics · 2026
JEE Main · 24 January 2026, Shift 1 · Q3
Let S={z ∈ C:|(z-6 i)/(z-2 i)|=1. and.|(z-8+2 i)/(z+2 i)|=3/5}. Then Σ_z ∈ S |z|^2 is equal to
Let $\displaystyle S=\left\{z \in \mathbb{C}:\left|\frac{z-6 i}{z-2 i}\right|=1\right.$ and $\displaystyle \left.\left|\frac{z-8+2 i}{z+2 i}\right|=\frac{3}{5}\right\}$.
Then $\displaystyle \sum_{z \in \mathrm{~S}}|z|^2$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 385$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.