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The roots of the cubic equation (z + alp...

The roots of the cubic equation (z + `alpha` `beta`)^3 = `alpha`^3 , `alpha` is not equal to 0, represent the vertices of a triangle of sides of length

A

`(1)/(sqrt(3))|alpha beta|`

B

`sqrt(3)|alpha|`

C

`sqrt(3)|beta|`

D

`(1)/(sqrt(3))|alpha|`

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The correct Answer is:
B
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