Consider a region R={(x,y) in R^(2):x^(2...

Consider a region `R={(x,y) in R^(2):x^(2) le y le 2x}`. If a line `y= alpha` divides the area of region R into two equal parts, then which of the following is true.?

A

`alpha^3 - 6 alpha^2 + 16 = 0`

B

`3alpha^2 -8alpha^(3//2) + 8 =0`

C

`3alpha^2 - 8alpha + 8 =0`

D

`a^3 - 6 alpha^(3//2) - 16 = 0`

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The correct Answer is:

B

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