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Area Under the Curves question

2019 · 8 Apr · Shift 2 · Q36
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  5. /2019 · 8 Apr · Shift 2 · Q36

Area Under the Curves question

2019 · 8 Apr · Shift 2 · Q36

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
Let S(α\alphaα) = {(x, y) : y2 ≤\le≤ x, 0 ≤\le≤ x ≤α\le \alpha≤α} and A(α\alphaα) is area of the region S(α\alphaα). If for a λ\lambdaλ, 0 < λ\lambdaλ < 4, A(λ\lambdaλ) : A(4) = 2 : 5, then λ\lambdaλ equals
  1. A
    2(425)132{\left( {{4 \over {25}}} \right)^{{1 \over 3}}}2(254​)31​
  2. B
    2(25)132{\left( {{2 \over {5}}} \right)^{{1 \over 3}}}2(52​)31​
  3. C
    4(425)134{\left( {{4 \over {25}}} \right)^{{1 \over 3}}}4(254​)31​
  4. D
    4(25)134{\left( {{2 \over {5}}} \right)^{{1 \over 3}}}4(52​)31​
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