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Complex Numbers question

2023 · 15 Apr · Shift 1 · Q37
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  5. /2023 · 15 Apr · Shift 1 · Q37

Complex Numbers question

2023 · 15 Apr · Shift 1 · Q37

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If the set {Re⁡(z−zˉ+zzˉ2−3z+5zˉ):z∈C,Re⁡(z)=3}\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\}{Re(2−3z+5zˉz−zˉ+zzˉ​):z∈C,Re(z)=3} is equal to the interval (α,β](\alpha, \beta](α,β], then 24(β−α)24(\beta-\alpha)24(β−α) is equal to :
  1. A
    36
  2. B
    27
  3. C
    42
  4. D
    30
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