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Q. Let p and q real number such that p!=...

Q. Let p and q real number such that `p!= 0`,`p^2!=q` and `p^2!=-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` and `beta/alpha` as its roots 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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