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Let p and q be real number such that ...

Let p and q be real number such that `p ne 0 , p^(3) ne q` and `p^(3) ne -q`. If `alpha` and `beta` non- zero complex number satifying `alpha+ beta= -p` and `alpha^(3) + beta^(3) =q` then a quadratic equation having `(alpha)/(beta)` and `(beta) /(alpha)` as its roots is :

A

`(p^(3) +q)x^(2) -(p^(3) +2p) x+ (p^(3) +q) =0`

B

`(p^(3) +q) x^(2) - (p^(3) - 2q) x+ (p^(3) +q) = 0 `

C

`(p^(3) -q) x^(2) -(5p^(3)-2q) x+ (p^(3)-q) =0`

D

`(p^(3)-q) x^(2)-(5p^(3) +2q) x+ (p^(3) -q) =0`

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The correct Answer is:
B
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