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If `alpha and beta` are the roots of the equation `x^(2)+x+c=0` such that `alpha+beta, alpha^(2)+beta^(2) and alpha^(3)+beta^(3)` are in arithmetic progression, then c is equal to

A

1

B

`(4)/(3)`

C

`(4)/(5)`

D

`(4)/(7)`

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The correct Answer is:
D
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