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If alpha,beta are roots of x^2+px+q=0 a...

If `alpha,beta` are roots of `x^2+px+q=0 and omega` is a cube root of unity then
`I:(omegaalpha+omega^2beta)(omega^2alpha+omegabeta)=p^2-3q " II : " (omegaalpha-omega^2beta)(omega^2alpha-omegabeta)=p^2-q`
III: `(alpha+omegabeta)(alpha+omega^2beta)=p^2-3q `

A

only I , II is true

B

only II , III is true

C

both I , III are true

D

all I,II , III are true

Text Solution

Verified by Experts

The correct Answer is:
D
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