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

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

A

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

Text Solution

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The correct Answer is:
B
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