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Application of Integration question

2017 · Shift 2 · Q28
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  5. /2017 · Shift 2 · Q28

Application of Integration question

2017 · Shift 2 · Q28

JEE AdvancedMathematicsApplication of IntegrationMultiple correct+4 / −2
If the line x = α\alphaα divides the area of region R = {(x, y) ∈\in∈ R2 : x3 ≤\le≤ y ≤\le≤ x, 0 ≤\le≤ x ≤\le≤ 1} into two equal parts, then
  1. A
    2 α\alphaα 4 −-− 4 α\alphaα 2 + 1 =0
  2. B
    α\alphaα 4 + 4 α\alphaα 2 −-− 1 =0
  3. C
    12<α<1{1 \over 2} \lt \alpha \lt 121​<α<1
  4. D
    0 < α≤12\alpha \le {1 \over 2}α≤21​
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