1.

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:

Answer»

`x^(6) - 12X^(3) + 4=0`
`x^(6) - 12x^(3) - 4=0`
`x^(6) + 6x^(3) -4=0`
`x^(6) - 6x^(2) + 4=0`

ANSWER :A


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