Mathematics · 2024
JEE Main · 9 April 2024, Shift 1 · Q22
The sum of the square of the modulus of the elements in the set {z= a + ib: a, b ∈ Z, z ∈ C,|z-1| ≤ 1,|z-5| ≤|z-5 i |} is ____.
The sum of the square of the modulus of the elements in the set $\displaystyle \{z=\mathrm{a}+\mathrm{ib}: \mathrm{a}, \mathrm{b} \in \mathbf{Z}, z \in \mathrm{C},|z-1| \leq 1,|z-5| \leq|z-5 \mathrm{i}|\}$ is $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
9
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.