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Area Under the Curves question

2020 · 8 Jan · Shift 1 · Q32
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  5. /2020 · 8 Jan · Shift 1 · Q32

Area Under the Curves question

2020 · 8 Jan · Shift 1 · Q32

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
For a > 0, let the curves C1 : y2 = ax and C2 : x2 = ay intersect at origin O and a point P. Let the line x = b (0 < b < a) intersect the chord OP and the x-axis at points Q and R, respectively. If the line x = b bisects the area bounded by the curves, C1 and C2, and the area of Δ\DeltaΔ OQR = 12{1 \over 2}21​, then 'a' satisfies the equation :
  1. A
    x6 – 12x3 + 4 = 0
  2. B
    x6 – 12x3 – 4 = 0
  3. C
    x6 + 6x3 – 4 = 0
  4. D
    x6 – 6x3 + 4 = 0
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