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The value of a such that the area bounde...

The value of a such that the area bounded by the curve `y=x^(2)+2ax+3a^(2)`, the coordinate axes and the line `x=1`. The coordinate axes and the line `x=1`. Attains its least value is equal to

A

`(1)/(6)`

B

`-(1)/(6)`

C

`(1)/(3)`

D

`-(1)/(3)`

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The correct Answer is:
B
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