SolveItJEE Main
Mathematics · 2024

JEE Main · 5 April 2024, Shift 2 · Q3

Let S_1={z ∈ C:|z| ≤ 5}, S_2={z ∈ C: Im ((z+1-√ 3 i)/(1-√ 3 i)) ≥ 0} and S_3={z ∈ C: Re (z) ≥ 0}. Then the area of the region S_1 ∩ S_2 ∩ S_3 is:

Let $\displaystyle S_1=\{z \in C:|z| \leq 5\}, S_2=\left\{z \in C: \operatorname{Im}\left(\frac{z+1-\sqrt{3} i}{1-\sqrt{3} i}\right) \geq 0\right\}$ and $\displaystyle S_3=\{z \in C: \operatorname{Re}(z) \geq 0\}$. Then the area of the region $\displaystyle S_1 \cap S_2 \cap S_3$ is:
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.