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For a > 0, let the curves C_(1) : y^(2) = ax and C_(2) : x^(2) = ayintersect at origin O and a point P. Let the linex = b(0 lt b lt 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, C_(1)and C_2, and the area of triangleOQR = 1//2, then 'a' satisfies the equation: |
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Answer» `x^(6) - 12X^(3) + 4=0` |
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