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a,b,c in R alpha is a root of a^...

a,b,c ` in R alpha ` is a root of ` a^2 x^2 +bx +c=0 beta ` is a root of ` a^2 x^2 - bx - c=0` and ` gamma` is a root of ` a^2 x^2 + 2 bx + 2 c=0` then

A

`|(-beta^2,beta ,1),(alpha^2,alpha ,1),(gamma^2,2gamma ,2)|=0`

B

`|(-beta^2,beta ,1),(alpha^2,alpha ,1),(gamma^2,gamma ,2)|=0`

C

`|(-beta^2,beta ,1),(alpha^2,alpha ,1),(gamma^2,2gamma ,2)|=0`

D

none

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The correct Answer is:
A
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