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Area Under the Curves question

2021 · 27 Jul · Shift 1 · Q27
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  5. /2021 · 27 Jul · Shift 1 · Q27

Area Under the Curves question

2021 · 27 Jul · Shift 1 · Q27

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
If the area of the bounded region R={(x,y):max⁡{0,log⁡ex}≤y≤2x,12≤x≤2}R = \left\{ {(x,y):\max \{ 0,{{\log }_e}x\} \le y \le {2^x},{1 \over 2} \le x \le 2} \right\}R={(x,y):max{0,loge​x}≤y≤2x,21​≤x≤2} is , α(log⁡e2)−1+β(log⁡e2)+γ\alpha {({\log _e}2)^{ - 1}} + \beta ({\log _e}2) + \gammaα(loge​2)−1+β(loge​2)+γ, then the value of (α+β−2λ)2{(\alpha + \beta - 2\lambda )^2}(α+β−2λ)2 is equal to :
  1. A
    8
  2. B
    2
  3. C
    4
  4. D
    1
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