If the set { Re ((z- z+z z)/(2-3z+5 z)): z∈ℂ, Re(z)=3 } is equal… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 15 April, Shift 1Modulus & Argument

If the set $\left\{ \Re\!\left(\frac{z-\bar z+z\bar z}{2-3z+5\bar z}\right) : z\in\mathbb{C},\ \Re(z)=3 \right\}$ is equal to the interval $\left(\alpha,\beta\right]$ , then $24(\beta-\alpha)$ is equal to

A
$27$
B
$30$
C
$36$
D
$42$

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