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If alpha, beta and gamma are the roots o...

If `alpha, beta and gamma` are the roots of the equation `x^(3)+x+2=0`, then the equation whose roots are `(alpha- beta)(alpha-gamma), (beta-gamma)(beta-gamma) and (gamma-alpha)(gamma-alpha)` is

A

`x^(3)-6x^(2)+216=0`

B

`x^(3)-3x^(2)+112=0`

C

`x^(3)+6x^(2)-216=0`

D

`x^(3)+3x^(2)-112=0`

Text Solution

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The correct Answer is:
D
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