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If the line x= alpha divides the area o...

If the line `x= alpha ` divides the area of region `R={(x,y)in R^(2): x^(3) le y le x ,0 le x le 1 } ` into two equal parts, then

A

`alpha^(4) + 4alpha^(2) - 1 = 0`

B

`0lt alpha le 1/2`

C

`2alpha ^(4) - 4alpha^(2) + 1 = 0`

D

`1/2 lt alpha lt 1`

Text Solution

Verified by Experts

The correct Answer is:
C
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