Mathematics · 2023
JEE Main · 15 April 2023, Shift 1 · Q3
If the set { Re ((z-z̄+z z̄)/(2-3 z+5 z̄)): z ∈ C, Re (z)=3} is equal to the interval (α, β], then 24(β-α) is equal to
If the set $\displaystyle \left\{\operatorname{Re}\left(\frac{z-\bar{z}+z \bar{z}}{2-3 z+5 \bar{z}}\right): z \in \mathbb{C}, \operatorname{Re}(z)=3\right\}$ is equal to the interval $\displaystyle (\alpha, \beta]$, then $\displaystyle 24(\beta-\alpha)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 30$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.