Mathematics · 2024
JEE Main · 6 April 2024, Shift 2 · Q3
If z_1, z_2 are two distinct complex number such that |(z_1-2 z_2)/(1/2-z_1 z̄_2)|=2, then
If $\displaystyle z_1, z_2$ are two distinct complex number such that $\displaystyle \left|\frac{z_1-2 z_2}{\dfrac{1}{2}-z_1 \bar{z}_2}\right|=2$, then
Official answer
From NTA’s final answer key for this paper.
(4)
either $\displaystyle z_1$ lies on a circle of radius $\displaystyle 1$ or $\displaystyle z_2$ lies on a circle of radius $\displaystyle \frac{1}{2}$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.