Mathematics · 2025
JEE Main · 22 January 2025, Shift 2 · Q3
Let the curve z(1+i)+z̄(1-i)=4, z ∈ C, divide the region |z-3| ≤ 1 into two parts of areas α and β. Then |α-β| equals:
Let the curve $\displaystyle z(1+i)+\bar{z}(1-i)=4, z \in \mathrm{C}$, divide the region $\displaystyle |z-3| \leq 1$ into two parts of areas $\displaystyle \alpha$ and $\displaystyle \beta$. Then $\displaystyle |\alpha-\beta|$ equals :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 1+\frac{\pi}{2}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.